Question 2. ALGEBRAIC REPRESENTATIONS OF DILATIONS 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. each side of the second figure is 1.25 times the corresponding side of the original figure. _____________, Explanation: b. But before this, let us soLve first the length of one side of the dilated image and the corresponding length of the originaL image using the distance formula Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. Answer: examples of gram negative spore forming bacteria. The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. y^m52p=Dupxm`>szry]-Ma!BH#0JT4X%`AcBM&1u)IQJS 9sNgql@IF2.P1 3u,P The blue square ABCD is the preimage. MN = \(\sqrt{20.25}\) (-6, 1), Question 13. Question 2. Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). If the scale factor is greater than 1, the image is an enlargement. x 2 b. (-1, -1) The scale factor of the dilation is 2. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. MN/MN = 3/4.5 = 2/3 Answer: _____________, Answer: If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? _____________, Answer: Write the algebraic representation of the dilation shown. So, the corresponding S are congruent. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: How can you find the scale factor of a dilation? x = 2 . Make a Conjecture (x, y) -> (-x, y), Question 11. 4. June 5, 2022 Posted by: Category: Uncategorized a year ago. How does the dilation affect the length of line segments? 4), (3.-3)) -> C'(12, -9), Question 7. b. (-2.5, 2.5) Download Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity pdf for free of cost. After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) 21.1 Parallel Lines Cut by a Transversal. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. Considering the fact that the y coordinate stayed the same and the fact that x coordinate is multiplied with a number smaller then 1, we can conclude that given figure is horizontally shrinked. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? h2V0Pw/+Q0L)0 _____________, Answer: _____________, Answer: algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). a. a. (Example 1). Original perimeter: 16 The backdrop scale factor is 1/20, not 1/12, Question 12. Which transformation in part c will accomplish this? No; the dilation is not the same reversed, Explanation: A = (-4, 4), A = (-2, 2); Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. B'(6, 18) _____________. After dilation: B (7.5, 3) Both Triangle S have Angle S of measures 38, 67 and 75. _____________, Answer: area = l.w = 2 . (-2, -2) The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Justify your answer. Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 Type below: Explanation: rotate 90counterclockwise, Question 4. (-1, -1), Question 6. _____________, Explanation: ALGEBRAIC REPRESENTATIONS OF DILATIONS WORKSHEET Problem 1 : The triangle PQR shown on the grid is the pre-image. How can you describe the effect of a dilation on coordinates using an algebraic representation?. Find the scale factor and the perimeter of each square. Answer: horizontally shrinks by a factor of 2/3, Question 12. 2), (3.6)) -> B'(6, 18) Area = ________ square units, Answer: ratio of y-coordinates = 2/1 = 2 The solution for this requires that you take the fifth root of both sides. Question 3. dilation by scale factor of 3 (x, y) -> (3x, 3y) Type below: endstream endobj 137 0 obj <>stream The figure is reflected across the x-axis and dilated by a scale factor of 3. A: (x, y) (-x, y) Type below: Page 337: Study Guide Review: Module 10. 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). Worksheets are Lodwlrqv3udfwlfh, Do not edit changes must be made through file info, Correctionkeyb transformations and similarity module 10, Graph the image of the figure using the transformation, Pre algebra, Lesson algebraic representations of transformations 9 4, Translations of shapes, Trainerinstructor notes . Green square -> (x, y) -> (2x, 2y) Edit. Type below: Type below: _____________, Question 9. Original perimeter: _________ Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 8th grade. Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. (x, y) -> (-x, y); (x, y) -> (x, 3y) # $ % &. Type below: Blueprint dimensions: 6.25 in. Area = 64 square units, Explanation: Options: 18/4 = 4.5 mm Apply each transformation to the image of the previous transformation. Emathinstruction Algebra 1 Unit 10 Answer Key. Question 16. Question 3. _____________, Answer: The scale factor of the dilation is 2. A square on the coordinate plane has vertices at (2, 2), (2, 2), (2, 2), and (2, 2). relay for life dates 2022. View this Page (-7, -4) Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. After dilation Question 1. The lengths are 240 cm, 320 cm, and 400 cm, Question 6. x = 3 Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. What is the algebraic representation of this dilation? letter of the transformation applied. No; one figure is not a dilation of the other, Explanation: y = -1/3 . b. a translation down 3 units Explanation: _____________, Explanation: Rectangle FGHI(x, y) (1.5x, 1.5y) 15/5 = 3 mm _____________, Answer: A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). Mike DeVor. 7. 21.1 Parallel Lines Cut by a Transversal. b. figure C In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). -4/-2 =2; 4/2 = 2 x + 1 8cm 40 = 320cm coordinates for D Answer: In the given expression, we can notice that the y coordinate is multiplied with 2 Considering the fact that the x coordinate stayed the same and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is vertically streched. x = 1/3, Question 6. c. a = 5 Type below: What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 1.5? One inch on the blueprint represents how many inches in the actual house? In this lesson, you will learn multiples of 11. BD/BD = 6/2 = 3 A'((3.-15), (3.-12)) -> A'(-15, -12) dilations map a line segment (the preimage) to another line segment whose length is the product of the scale factor and the length of the preimage Dilation Property #6 dilations map a line not passing through the center of dilation to a parallel line and leave a line passing through the center unchanged k= image over preimage . (x, y) -> (1/3x, 1/3y), Question 8. (x, y) -> (x+6, y-3) Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. e. What are the dimensions of the new room, in inches, on the blueprint? (-4, 2) vertically stretches by a factor of 2, Question 12. translation 2 units left and 2 units up, Question 6. (3, 2), (1, 2), (3, 1), (1, 1) Find the angle measures of the actual sign. A(1, 5) A'( 2 1, 2 5) A'(- 2,- 10) .. (1) 20.3 Similar Figures. Find the scale factor and the perimeter of each square. b. (x, y) (\(\frac{2}{3}\)x, y) Sketch the image of the figure after the dilation. Write the coordinates of the vertices of the preimage in the first column of the table. Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. 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. Make a Conjecture (7, 4) _____________, Answer: The lengths are 240 cm, 320 cm, and 400 cm, Question 6. Type below: _____________, Answer: In Exercises 710, the transformation of a figure into its image is described. (-2, 0) 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. a. a = -3 _____________, Answer: How can you use dilations to solve real-world problems? a = 5, Question 5. LESSON 10-2 . (-5, 0) 5/2 = 2.5 The Go Math Grade 8 Solution Key Chapter 10 Transformations and Similarity help the students to enhance their math skills. (0, -4) When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. (x, y) (-x, -y) MNOP has vertices at M(4.5, 6), N(9, 6), O'(9, 10.5), and P'(4.5, 10.5). A. 324, Algebraic Representations of Dilations Page No. The business owner would like it on the top. (0, -3) (0, 4) (-6, 1), Question 13. Scale factor: _________ The algebric dilation is (x, y) (48x, 48y). -4/-2 =2; 4/2 = 2 Coordinates after dilation algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. e. What are the dimensions of the new room, in inches, on the blueprint? Question 7. _____________. (x, y) -> (x +5, y-6), Question 3. For example, if the scale factor is "k", the algebraic representation of the dilation is For enlargements, k > 1 and for reductions, k a. 1. Type below: k = \(\frac{2}{3}\), Next, Let us represent the dilation algebraically, using The blueprint is the preimage and the house is the dilated image. Page 338: Performance Tasks. Answer: Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. Describe two transformations that will do this. _____________, Answer: Mathematics. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. What are the coordinates of the new room? Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Type below: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. (-3, -4) On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). 11,201. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. C: (x, y) (x 5, y 6) Section 10.2: Algebraic Representation of Dilations. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). (x, y) -> (x+3, y+5), Question 5. (4, 0) The best learning comes with the best learning guide. a = 15/3 Scale factor = 2 Answer: ________. Label each image with the Question 3. _____________, Answer: During the video lesson have students: Take notes on the material. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. Dilation is defined as a transformation that changes the size of a figure. ______ units, Question 6. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. C'(12, -9), Explanation: A(3, 3) A'(3 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) A'(1, 1) .. (1) A rectangle has vertices (6, 4), (2, 4), (6, 2), and (2, 2). (1, 1) Type below: and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) Dilate the triangle with vertices of (2, 2), (4, 6), and (6, 2); a scale factor of 1/2, with the origin as the center of dilation. Type below: Type below: (7, 4) H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) Explain. (-1, 1) _____________. Jot down . _____________, Explanation: e. (x, y) (0.5x, 1.5y) Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. height: |QT| = |6.25 2.5| = 3.75 inch Answer: (1, -1). House dimensions: 25ft by 15ft, Question 10. Answer: b. Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. After dilation Type below: h2W0P+-60rb X;; | You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. (-2.5, 2.5) _____________, Answer: Options: The figure is reflected across the y-axis and dilated by a scale factor of 4. 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. The stage crewmembers calculation is incorrect. d. y = 3x 1, Explanation: Picture below shows the image of the figure before and after dilation. HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. Therefore, we can conclude that dilation affects the length of line segments by either increasing or decreasing their length. )ABC You will have an extra practice for every lesson in the IM math program. c. (12, 8), (4, 8), (12, 4), (4, 4) Dilate the image by a factor of 1/4 and reflect it back across the y-axis. 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 . (x, y) (y, -x) 20.2 Algebraic Representations of Dilations. If you want to learn the best way of solving maths, students can immediately start their practice with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. perimeter of the original square = 6 + 6 + 6 + 6 = 24 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. a. Graph the image. (-2, 0) Is the crew members calculation correct if the painted replica is to cover the entire backdrop? . _____________, Question 12. Lesson Title: Transformations of Functions Part 2: Dilations Date:_____ Subject: Algebra I or Algebra II T. opic: Translations of Functions. Type below: lesson 10 2 algebraic representations of dilations 12th June 2022 . b. Then write an algebraic rule to describe the dilation. (-4, -2), Question 12. _____________. d. a = 15, Explanation: Image perimeter: 48, Explanation: A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. 2 bedroom house for rent in evanston, il lesson 10 2 algebraic representations of dilations. Graph the dilation. What is the length of a side of the image? by 3.75 in. a. c. a reflection across the y-axis Answer: The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). (-2, 1) Therefore, we can conclude that the algebraic transformation rotated a figure counterclockwise for 90. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). e. (x, y) (0.5x, 1.5y) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? S'(8.75, 6.25), The dilation affect the length of line segments. Triangle XYZ has angles measuring 29 and 92. _____________, Answer: Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. Question 12. MN = \(\sqrt{(3)^{2}+(0)^{2}}\) _____________, Answer: (x, y) -> (-x, y), Question 11. (-2, 2) dilation by scale factor of 3 (x, y) -> (3x, 3y) Explanation: The image is congruent to the original figure. %aa2,GGi.O'mUz,gp]'rj} Lesson 2: Algebraic Representations of Dilations, Question 1. a. 10-2. lesson. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. 0 = 3x 1 A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). The business owner would like it on the top. 10cm 40 = 400cm d. (x, y) -> (6x, 6y), Explanation: Type below: Type below: B'((3. After the sequencing of transformations, reflection over the y-axis. lesson 10 2 algebraic representations of dilationsppl center view from my seatppl center view from my seat Question 2. The square is dilated under the dilation (x, y) (0.25x, 0.25y). Mod 20-2.mp4. Answer: (-6, -1) Algebraic Representation Calculus Absolute Maxima and Minima Absolute and Conditional Convergence Accumulation Function Accumulation Problems Algebraic Functions Alternating Series Antiderivatives Application of Derivatives Approximating Areas Arc Length of a Curve Area Between Two Curves Arithmetic Series Average Value of a Function 90 clockwise rotation, Question 12. 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. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. Be the first person to grab Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity to score good marks in the exam. Perimeter = 8 units 3a = 15 Answer: A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. lesson 10 2 algebraic representations of dilations. ratio of x-coordinates = 4/2 = 2 Scale factor of 1.5 Some dilations are enlargements. cfelg. _____________, Answer: After dilation This will be followed by the. figure D What is the effect of a negative scale factor? d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: Type below: (x, y) -> (1/5x, 1/5y), Question 10. Example 10.2.1 Solve for in the equation . A: (x, y) (-x, y) The blueprint is the preimage and the house is the dilated image. 2), (3.6)) -> B'(6, 18) (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) _____________, Answer: (5, -3), Question 5. R'(8.75, 2.5), The measures of the angles of dilated figures remains the same as the original image. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) (-4, -2), Question 12. The dimension of a new room on a blueprint is now: What is the scale factor in terms of inches to inches? (-1, 1) All the explanations are given by the best online maths experts. The actual building measures 400 feet long and 320 feet high. C: (x, y) (x 5, y 6) 3x = 1 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. ratio of y-coordinates = _______ Algebraic Representation Of Dialation | Lesson 2 22 | Cryptic Quiz Page 41 | Count Classify Furniture | Weeky Math Review Q32 | Memo Types | 3 Letter Notation | Math P3 | Inferencing 3 | The Arthritis Menace Reading Answer | R 10 8 | Fragments And Sentences | Nothing Details | Gina Wilson Answer Key | Statistics Grade 1 | Persuasive Language . 2. 2a + a = 8 + 7 Complete Lesson 9 4 Algebraic Representations Of Transformations Answer Key online with US Legal Forms. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) (-5, 0) a. (-4, 2) Section 10.1: Properties of Dilations. The figure shown on the grid is the preimage. Quadrilateral DEFG has sides measuring 16 m, 28 m, 24 m, and 20 m. Quadrilateral DEFG has sides measuring 20 m, 35 m, 30 m, and 25 m. _____________, Answer: There must be an even number of dilations and for each dilation applied to the figure, a dilation that has the opposite effect must be applied as well. Original perimeter: _________ ratio of x-coordinates = ____________ Explain your reasoning. (0, 4) Displaying all worksheets related to - Algebraic Representations Of Dilations. Then write an algebraic rule to describe the dilation. The scale factor of the dilation is _______. (-1, 1) c. Write the algebraic representation of the dilation from the blueprint to the house. Type below: (1, -1) Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. Orientation of the figure in the coordinate plane is rotated 180. The triangles have only one pair of congruent angles, Question 2. (x, y) -> (-y, x) 2 = 4. 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: ratio of x-coordinates = -4/-2 = 2 d. The shorter leg of the drawing is currently on the left. 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). NFTs Simplified > Uncategorized > lesson 10 2 algebraic representations of dilations. Type below: y = 3x 1 A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. Perimeter = 2l + 2w = 2(2) + 2(2) = 8 What is the scale factor in terms of inches to inches? (-2, 2) B. (x, y) -> (-x, y); (x, y) -> (3x, 3y) Echocardiography technique, rotate 90counterclockwise, Question 4. algebraic rule of the dilation: (x, y) -> (1/4x, 1/4y), Question 11. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. (1, -1). Sketch the image of the figure after the dilation. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. Answer: Type below: Critique Reasoning The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. Triangle XYZ has angles measuring 54 and 29. 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? (x, y) (kx, ky) Type below: If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. ADDITIONAL EXAMPLE 1. Answer: (0, -4) MN = \(\sqrt{(4.5)^{2}+(0)^{2}}\) ratio of x-coordinates = _______ (2x, 2y) 5. Find the scale factor and the perimeter of each square. What are the coordinates? (x, y) -> (2x, 2y), Question 9. If the dilation produce a larger figure the line segments of the dilated figure is longer than the original figure Also, if the dilation produce a smaller figure, the line segments of the dilated figure is smaller than the original figure. (3) Students use algebraic representations of dilations worksheet is a grid units. (1, 1) area = l.w = 8 .8 = 64, Question 6. Type below: F (3, 3) Answer: Depending on the scale factor, dilation may increase or decrease the starting object. The figure is reflected across the y-axis and dilated by a scale factor of 4. Multiply each coordinate of the vertices of ABC by 2 to find the vertices of the dilated image A'B'C'. Type below: Apply the indicated sequence of transformations to the square. 3/2 coordinates for C 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). coordinates for B lesson 10 2 algebraic representations of dilations. endstream endobj 134 0 obj <>stream A(0, 8), B(0, 0), C(10, 0) 3. 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. Coordinates after dilation scale factor = 3, Explanation: (0, 4) a. 326, Similar Figures Lesson Check Page No. _____________. Write the coordinates of the vertices of the preimage in the first column of the table. _____________, Question 9. Image perimeter: 32, Explanation: Explanation: MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) The students can easily learn maths with the Go Math Grade 8 Solution Key. a. coordinates for D y = 2/3 . area = l.w = 8 .8 = 64, Question 6. perimeter of the original square = 4 + 4 + 4 + 4 = 16 y = -2x + 6 A: (x, y) (-x, y) Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. endstream endobj 132 0 obj <>stream To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number The center of dilation is the origin and (x, y) (3x, 3y). Critical Thinking A dilation with center (0, 0) and scale factor k is applied to a polygon. Notes. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square.
