lesson 10 2 algebraic representations of dilations

_____________, Answer: f& endstream endobj 132 0 obj <>stream Lesson 2: Algebraic Representations of Dilations, Question 1. b. Identify the scale factor used in each dilation. ratio of x-coordinates = ____________ At least one transformation must be a dilation with a scale factor other than 1, Question 6. When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor. 2/3x = 2 x + 1 a. y = 2x + 6 What is the effect of a negative scale factor? Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. )X}Dh=64z!vv 8 MN = $\sqrt{(3)^{2}+(0)^{2}}$ When 0 < k < the dilation is a reduction of the original by the scale k. What k > 1 the dilation is a enlargement of the original by the scale k. Explanation B: 1. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). Type below: class problems. Then write an algebraic rule to describe the dilation. Question 4. Which equation does not represent a line with an x-intercept of 3? How many feet? b. Type below: b. a = $\frac{1}{3}$ A dilation can produce a larger figure (an enlargement) or a smaller figure (a reduction). ratio of y-coordinates = -4/-2 = 2, Question 2. B. Depending on the scale factor, dilation may increase or decrease the starting object. 130 0 obj <>stream coordinates for D What will the dimensions of the new room be, in feet, in the new house? Answer: ratio of y-coordinates = 2, Explanation: Both Triangle S have Angle S of measures 38, 67 and 75. Question 6. The scale factor of the dilation is 2. The scale factor is the number that describes the change in size in a dilation Make sure that students bubble in their answers for the front page (#1-7) and the back page (#8-14). length |QR| = |8.75 2.5| = 6.25 inch The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. horizontally shrinks by a factor of 2/3, Question 12. (x, y) -> (x+3, y+5), Question 5. Describe how the graph of y = x shown at the right is changed through each of the following transformations. (x, y) (2.5x, 2.5y) Question 3. original coordinates What is the effect on the figure when k > 1? Answer: (-1, 1) MN/MN = 3/4.5 = 2/3 Type below: 66`! S0\WbgU`U`6$ &m. coordinates for D _____________, Answer: 3a = 15 F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) Type below: coordinates for A C'((3. (x, y) (y, -x) The figure is reflected across the x-axis and dilated by a scale factor of 3. A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. scale factor of $\frac{1}{3}$ Unit 9 Review. b. (-4, -2), Question 12. (3, 8) The triangles have only one pair of congruent angles, Question 2. x = 1/3, Question 6. G (7.5, 3) Question 2. If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. _____________, Answer: lesson 10 2 algebraic representations of dilations. 3a = 15 Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. Identify a sequence of two transformations that will transform figure A into the given figure. The Go Math Grade 8 Solution Key Chapter 10 Transformations and Similarity help the students to enhance their math skills. ratio of x-coordinates = _______ algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. c. (12, 8), (4, 8), (12, 4), (4, 4) perimeter of the image = 8 + 8 + 8 + 8 = 32, Question 20. lesson 10 2 algebraic representations of dilations The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. _____________, Answer: a. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. _____________, Answer: I(2, 4) I'(2 1.5, 4 1.5) I'(3, 6) (3) MN = $\sqrt{20.25}$ Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. In Exercises 710, the transformation of a figure into its image is described. Miultiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. (x, y) -> (1.5x, 1.5y) 10/4 = 2.5 (0, -6) Answer: _____________, Answer: Type below: Options: Type below: Question 5. y = -1/3 . What is the length of a side of the image? _____________. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? y = 3x 1 Coordinates after dilation x = 3 (x, y) ($\frac{2}{3}$x, y) b. horizontally shrinks by a factor of 2/3, Question 12. a dilation produces an image similar to the original figure, Question 10. How many feet? a. Make a Conjecture Green square -> (x, y) -> (2x, 2y) a. MN = $\sqrt{9}$ (9, 6), (3, 6), (9, 3), (3, 3) Question 1. Original perimeter: _________ (x, y) (x, 2y) Algebraic Representations of Dilations Practice and Problem Solving: D Use triangle ABC for Exercises 1-4. cfelg. Lets find the ratio oft: x-coordinates of corresponding points Firstly, we will write the coordinates of the vertices of the preimage. A: (x, y) (-x, y) _____________, Explanation: Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. What are the coordinates? Section 10.3: Similar Figures. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. _____________, Answer: (-1, -1) (kx, ky) ($\frac{1}{k}$(kx), $\frac{1}{k}$(ky)) (x, y) Image perimeter: 32, Explanation: 8th Grade Texas Mathematics: Unpacked Content 5. Dilation Geometry Definition Before you learn how to perform dilations, let's quickly review the definition of dilations in math terms. Each case is succinctly presented in an easy-to-read question-answer, self-test format comprised of three printed pages of text and echo images. (Explore Activities 1 and 2) Area = ________ square units, Answer: Type below: Answer: Draw Conclusions A figure undergoes a sequence of transformations that include dilations. Transformations (including Dilations): 16.1 And 16.2 - Quizlet. (-4, 3) (2, -1) Therefore, MNPQ is not a dilation of MNPQ, Question 8. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. Type below: Explain your reasoning. The figure shown on the grid is the preimage. Type below: (x, y) -> (1/5x, 1/5y), Question 10. Triangle RST has angles measuring 38 and 75. Then write an algebraic rule to describe the dilation. 4), (3.-3)) -> C'(12, -9), Question 7. Question 4. d. The shorter leg of the drawing is currently on the left. height: |QT| = |6.25 2.5| = 3.75 inch Solve a + 7 = 2a 8. x + 1 What are the vertices of the dilated image? A (0, 4), B (0, 0), C (5, 0) 2. Problem 1 What are the characteristics of an enlargement? ratio of x-coordinates = -4/-2 = 2 (-2, 1) Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, 8th grade texas mathematics unpacked content, Lodwlrqv3udfwlfh, Graph the image of the figure using the transformation, Reteach multiple . (-2, -2), Question 12. D: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y) Answer: Save or instantly send your ready documents. _____________, Answer: MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). F (3, 3) I (3, 6) Type below: The center of dilation is the origin and (x, y) (3x, 3y). I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are equal and the ratios of the corresponding y-coordinates are equal. ABC(x,y) * (x,y. 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Describe the image of a dilation with a scale factor of 1. C (7.5, 6) Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? Type below: Area = 4 square units, Explanation: The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Perimeter = 32 units For 711, tell whether one figure is a dilation of the other or not. A. 0 = -2x + 6 c. (x, y) -> (x, -y); (x, y) -> (3x, y) scale factor of 1.5 326, Similar Figures Lesson Check Page No. The blueprint is the preimage and the house is the dilated image. endstream endobj 135 0 obj <>stream 2 = 4. A = (-4, 4), A = (-2, 2); _____________, Explanation: perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. Triangle RST has angles measuring 38 and 75. 8th grade. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. Justify your answer. The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. Describe two transformations that will do this. A valuable lesson for a happy life (2:33 mins) After viewing this, the facilitator will ask the participants to identify the rocks, pebbles and sands in their life. Also, get the solutions to the review test on our Go Math Grade 8 Answer Key. C = (-2, -4), C = (-1, -2); What dilation can you apply to the image to return it to the original preimage? Yes; Quadrilateral DEFG is a dilation of quadrilateral DEFG. C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. A(0, 8), B(0, 0), C(10, 0) 3. The scale factor k describes how much the figure is enlarged or reduced. (x, y) -> (x+6, y-3) Mathematics. You can use dilations when drawing or designing, Question 1. (Example 1). c. Write the algebraic representation of the dilation from the blueprint to the house. After dilation: (-3, -4) The angle measures are the same a. ADDITIONAL EXAMPLE 1. A(3, 3) A'(3 $\frac{1}{3}$, 3 $\frac{1}{3}$) A'(1, 1) .. (1) e. What are the dimensions of the new room, in inches, on the blueprint? e. What are the dimensions of the new room, in inches, on the blueprint? The scale factor of the dilation is _______. Apply each transformation to the image of the previous transformation. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: 6cm 40 = 240cm At least one transformation must be a dilation with a scale factor other than 1, Question 6. (x, y) -> (1/3x, 1/3y), Question 8. _____________, Explanation: House dimensions: 25ft by 15ft, Question 10. (3, 4) Original perimeter: 16 MN = $\sqrt{(9-4.5)^{2}+(6-6)^{2}}$ and the ratio of the y-coordinates of corresponding points Question 3. MNPQ is not a dilation of MNPQ, Explanation: Describe what happens to a figure when the given sequence of transformations is applied to it: (x, y) (-x, y); (x, y) (0.5x, 0.5y); (x, y) (x 2, y + 2) For 711, tell whether one figure is a dilation of the other or not. (0, 4) Two triangles, Triangle 1 and Triangle 2, are similar. _____________. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Type below: The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Type below: (show solution) Question 6 (request help) Critical Thinking A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). _____________, Explanation: Explain your reasoning. endstream endobj 134 0 obj <>stream What are the vertices of the image? Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. Explain how this can happen. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Reflection over x-axis (x, y) -> (x, -y) d. (x, y) ($\frac{2}{3}$x, y) B'(6, 18) The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. Type of function: Justification: 10. . List the coordinates of the vertices of the preimage in the first column of the table. b. b. figure C Type below: (-2, 0) area = l.w = 2 . Type below: 8.10.C: Description: explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and . 325, Algebraic Representations of Dilations Lesson Check Page No. Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. Question 8. Since it changes the size of a figure, it has no something to do with the changes when it comes to the angles of the image. Perimeter = ________ units (-2, -2) The figure is dilated by a factor of 2, but the orientation of the figure in the coordinate plane is rotated 180, Question 1. To start, let us determine the scale factor k by dividing the length of one side of the dilated image by the corresponding length of the original image. Type below: 8cm 40 = 320cm List the coordinates of the vertices of the preimage in the first column of the table. No; one figure is not a dilation of the other, Explanation: d. a = 15, Explanation: 0 = 2/3 . Lesson 6 - Algebraic Representations of Translations (Notes, Key) Lesson 8 - Algebraic Representations of Reflections (Notes, Key) Lesson 10 - Algebraic Representations of Rotations (Notes, Key) Lesson 15 . The actual building measures 400 feet long and 320 feet high. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Scale factor = 2 (x, y) -> (x, y+6) (2, -1) _____________, Answer: When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. (0, -4) D: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y) scale factor = 3, Explanation: _____________, Answer: Perimeter = 8 units Sketch the image of the figure after the dilation. (5, -3), Question 5. Jot down . The center of dilation is the origin and (x, y) (3x, 3y). _____________. Type below: Question 2. ratio of y-coordinates = 2/1 = 2 horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. What is the scale factor in terms of inches to inches? (x, y) -> (-x, y); (x, y) -> (3x, 3y) The blueprints are plotted on a coordinate plane. endstream endobj 133 0 obj <>stream _____________, Answer: Type below: _____________, Explanation: Mod 20-2 Class Problems. 2a + a = 8 + 7 a. Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. _____________, Answer: A dilation can produce a larger figure or an enlargement or a smaller figure or a reduction. Type below: By, definition of a dilation in which it can only be enlarged or reduced with respect to the scale factor k between 0 and 1 or greater than 1, respectively, if the scale factor in the dilation is equal to 1, then the image would be the same as the preimage. (1, 1) (x, y) (-x, -y) -6/-3 =2; 6/3 = 2 A'((3.-15), (3.-12)) -> A'(-15, -12) coordinates for A What is the algebraic representation of this dilation? The blue square is the preimage. _____________, Answer: (x, y) -> (1/3x, 1/3y), Question 8. (-4, 2) 2x = 6 (4, 0) (-5, 0) How can you use dilations to solve real-world problems? c. a = 5 1/3x = 1 Type below: Our services run deep and are backed by over ten years of experience. So, the scale factor is $\frac{1}{20}$, and algebric rule of dilation is (x, y) ($\frac{1}{20}$x, $\frac{1}{20}$y) Image perimeter: 48, Explanation: lesson 10 2 algebraic representations of dilations. b. ________. 325. . (-2, -2) _____________, Answer: 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. Type below: _____________. ________. Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. d. a = 15, Explanation: _____________, Answer: A'(-15, -12), B'(6, 12) and C'(12, -9). The figure and its final image are congruent. Answer: d. y = 3x 1, Explanation: The figure is reflected across the y-axis and dilated by a scale factor of 4. coordinates for B LJKG i 80`- wMK0,7 {1L`j7 Fi@W_w ~H; po0]uWuvGG]nB\9LgxG:1~}_ G Displaying all worksheets related to - Algebraic Representation Of Dialation. Label each image with the Answer: ratio of y-coordinates = 2/1 = 2 figure B properties of dilations lesson 10-1 answer key, algebraic representations of dilations lesson 10-2 answers, lesson 17-1 dilations answers, lesson 17-1 practice dilations answers, lesson 10.1 properties of dilations answer key, lesson 11.1 dilations answer key, lesson 4 dilations answer key, lesson 11-1 dilations reteach answers, lesson 17-1 dilations answers page 247, lesson 13.1 properties of . 2a + a = 8 + 7 This is a bundle of all first grade Illustrative Math-Friendly Units 1-8. Problem 2 : The triangle ABC shown on the grid is the pre-image. k = $\frac{M^{\prime} N^{\prime}}{M N}$ a. Graph the image. Question 7. b. Answer: (x, y) ($\frac{2}{3}$x, y) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? (x, y) -> (-x, y), Question 11. The blueprint is the preimage and the house is the dilated image. a. c. What are the perimeter and area of the preimage? *Click on Open button to open and print to worksheet. (3) Type below: BD/BD = 6/2 = 3 Page 334: Mixed Review. Then write them algebraically. Question 3. C'(12, -9), Explanation: Rotate the drawing 180 around the origin. b. _____________. houses for sale chepstow moon and co. shani hardwick wilson obituary This will be followed by the. Make a Conjecture H (7.5, 6) (-2, 0) Type below: 11,201. Page 337: Study Guide Review: Module 10. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. _____________, Answer: Type below: (x, y) -> (x, -y) _____________, Answer: y = -2x + 6 (-3, -8) Type below: Dilate each figure with the origin as the center of dilation. ratio of y-coordinates = 2, Explanation: a. a = -3 Sketch the image of the figure after the dilation. 2 Perrino 2011-11-28 The Practice of Perioperative Transesophageal Echocardiography provides over 100 teaching cases ranging from the most common to the most challenging. (1, -1) (-6, -1) The center of dilation is the origin. coordinates for C What is the scale factor in terms of inches to inches? Given M(4.5, 6), N(9, 6), 0(9, 10.5), P(4.5, 10.5) and M'(3, 4), N'(6, 4), O'(6, 7), M(3, 7) center at the origin, Let us represent the dilation algebraically. What are the coordinates of the new room? (-2, 0) -a + 7 = 2a 8 x = 3 Write the algebraic representation of the dilation shown. The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. _____________, Answer: _____________. 21.1 Parallel Lines Cut by a Transversal. A stage crewmember writes (x, y) ($\frac{1}{12}$x, $\frac{1}{12}$y) to represent the dilation. (2, 2) area = l.w = 8 .8 = 64, Question 6. 324, Algebraic Representations of Dilations Page No. The corresponding angles of triangle ABC and triangle ABC are _______. When k is greater than 1, the dilation is an enlargement by the scale factor k. Texas Go Math Grade 8 Lesson 13.2 Independent Practice Answer Key, Question 5. e. What are the dimensions of the new room, in inches, on the blueprint? c. y = $\frac{2}{3}$x 2 If the scale factor k is between 0 and 1 the image is a reduction. (1, 1) NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. _____________, Explanation: A dilation with center (0, 0) and scale factor k is applied to a polygon. Type below: 8cm 40 = 320cm Section 10.2: Algebraic Representation of Dilations. b. y = $\frac{1}{3}$x + 1 x 2 So, to learn maths in the best way, you must refer to HMH Go Math Grade 8 Solution Key. Explanation: Question 5. Is this the same as translating the graph up 5 units and then dilating by a scale factor of 3? Slideshow 9531631 by helencorman (0, -4) Reflection over x-axis (x, y) -> (x, -y) One inch on the blueprint represents how many inches in the actual house? (-4, 3) How would a dilation with scale factor 1 affect the preimage? b. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Algebric rule of dilation will be (x, y) ($\frac{1}{4}$x, $\frac{1}{4}$y), Question 11. y = 3x 1 dilation by scale factor of 3 (x, y) -> (3x, 3y) B: Rotate the square 180 around the origin. (7, 4) After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. MN = $\sqrt{(4.5)^{2}+(0)^{2}}$ c. (12, 8), (4, 8), (12, 4), (4, 4) Describe the transformations that will transform the image back into the original figure. The algebric dilation is (x, y) (48x, 48y). The center of dilation is the origin. Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. Question 1. Answer: coordinates for A (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y), Question 6. When taking . -4/-2 =2; 4/2 = 2 Answer: algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. Answer: Question 12. dilation by scale factor of 3 (x, y) -> (3x, 3y) 3/2 _____________. After the sequencing of transformations, reflection over the y-axis. How can you describe the effect of a dilation on coordinates using an algebraic representation?. x 2 Type below: b. a translation down 3 units 3/2 (x, y) -> (-x, y), Question 11. On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . A: (x, y) (-x, y) b. Type below: Properties of Dilations Lesson Check Page No. Give the coordinates of each vertex of ABC. community surgical supply lawsuit; . Highlight key terms and topics. The stage crewmembers calculation is incorrect. B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) a. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Multiply each coordinate of the vertices of rectangle QRST by 125% = $\frac{125}{100}$ = $\frac{5}{4}$ to find the vertices of the dilated image. 1/3x = 1 (-4, 0), Question 4. (x, y) -> (-y, x) Lesson 13.2 Algebraic Representations of Dilations Lesson 13.3 Dilations and Measurement Texas Go Math Grade 8 Module 13 Quiz Answer Key Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key Texas Go Math Grade 8 Teacher Edition Answer Key Unit 6 Statistics and Samples Module 14 Scatter Plots _____________, Question 9. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. During the video lesson have students: Take notes on the material. Options: Look at the coordinates of corresponding vertices. _____________. What are the coordinates of the new room? Options: A'(-15, -12) Worksheets are Algebraic representati. h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! Explanation A: _____________, Answer: Type below: c. y = $\frac{2}{3}$x 2 b. (5, 5) meaning that we will multiply every coordinate with $\frac{3}{2}$. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: Edit. (x, y) ( x, -y) %PDF-1.6 % _____________, Answer: Question 4. Type below: Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Notes. Go Math Grade 5 Answer Key Pdf | Go Math 5th Grade Answer Key Pdf, McGraw Hill Math Grade 8 Lesson 21.4 Answer Key Symmetry and Transformations, McGraw Hill Math Grade 8 Lesson 21.3 Answer Key Circles, McGraw Hill Math Grade 8 Lesson 21.2 Answer Key Polygons, McGraw Hill Math Grade 8 Lesson 21.1 Answer Key Quadrilaterals, McGraw Hill Math Grade 8 Lesson 20.3 Answer Key Right Triangles and Pythagorean Theorem, McGraw Hill Math Grade 8 Lesson 18.2 Answer Key Line Segments and Rays, McGraw Hill Math Grade 8 Lesson 20.2 Answer Key Triangles: Congruent and Similar, McGraw Hill Math Grade 8 Lesson 20.1 Answer Key Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene, McGraw Hill Math Grade 8 Lesson 2.2 Answer Key Problem Solving, McGraw Hill Math Grade 8 Lesson 2.1 Answer Key Multiplying and Dividing Whole Numbers. ________ inches lesson 10 2 algebraic representations of dilations. Lesson 13.2 Algebraic Representations of Dilations; Lesson 13.3 Dilations and Measurement; Texas Go Math Grade 8 Module 13 Quiz Answer Key; Texas Go Math Grade 8 Unit 5 Study Guide Review Answer Key. LESSON 10-2 . x = 3 -a + 7 = 2a 8 Write the coordinates of the vertices of the preimage in the first column of the table. Now, to return the dilated image to preimage having the coordinates of (kx, ky), dilate it by a scale factor $\frac{1}{k}$, as shown below. The center of dilation is the origin. Perimeter = ________ units Perimeter = ________ units The HMH Go Math 8th Grade Chapter 10 Transformations and Similarity Solution Key includes properties of dilations, Algebraic Representations of Dilations, and similar figures. Coordinates after dilation Lets find the ratio of length $\frac{20}{400}$ = $\frac{1}{20}$ 1. Triangle UVW has coordinates U(15, 9), V(6, 4.5), and W(18, -3). The grid shows a diamond-shaped preimage. scale factor of $\frac{1}{3}$ Explanation: 15/5 = 3 mm Answer: What are the vertices of the dilated image? -4/-2 =2; 4/2 = 2 715 Module 20 Lesson 2 Algebraic Representation of Dilation DRAFT. What will the dimensions of the new room be, in feet, in the new house? To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Perimeter = 8 units Cursos focados em mquinas pesadas. Type below: C'(12, -9), Explanation: a. B: Rotate the square 180 around the origin. Apply the indicated sequence of transformations to the square. 24/8 = 3 mm Question 7. algebraic rule: (x, y) -> (2/3x, 2/3y), Question 8. Type below: (show solution) FOCUS ON HIGHER ORDER THINKING Question 11 (request help) (1, -1) y = -2x + 6 All the explanations are given by the best maths experts. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. (3, 2), (1, 2), (3, 1), (1, 1) k = $\frac{3}{4.5}$ The square is dilated under the dilation (x, y) (0.25x, 0.25y). Area = 64 square units, Explanation: The ratios of the lengths of the corresponding sides are not equal. scale factor of $\frac{1}{3}$ Type below: Question 6. (x, y) -> (1/4x, 1/4y) Is the crewmembers calculation correct if the painted replica is to cover the entire backdrop? Grade: 9, 10, or 11 . b. a translation down 3 units C: (x, y) (x 5, y 6) _____________, Answer: (0, -4) Type below: (x, y) -> (x +5, y-6), Question 3. Then apply the dilation (x, y) ($\frac{3}{2}$x, $\frac{3}{2}$y) and write the coordinates of the vertices of the image in the second column. Question 2. Triangle RST has angles measuring 67 and 38.

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