lesson 10 2 algebraic representations of dilations

endstream endobj 134 0 obj <>stream C: (x, y) (x 5, y 6) Algebric rule of dilation will be (x, y) (\(\frac{1}{4}\)x, \(\frac{1}{4}\)y), Question 11. Answer: The backdrop scale factor is 1/20, not 1/12, Question 12. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? Question 2. Quadrilateral MNPQ is the same shape but a different size than quadrilateral MNPQ. Explain how this can happen. (x, y) (y, -x) What are the coordinates? (x, y) -> (2x, 2y), Question 9. The grid shows a diamond-shaped preimage. A. The stage crewmembers calculation is incorrect. Reflection over x-axis (x, y) -> (x, -y) On a computer, Raquel uses polygons and a circle to make a model of the top of London's Big Ben clock . Type below: area = l.w = 8 .8 = 64, Question 6. c. Write the algebraic representation of the dilation from the blueprint to the house. R'(8.75, 2.5), In Exercises 710, the transformation of a figure into its image is described. ratio of y-coordinates = ____________, Answer: e. (x, y) (0.5x, 1.5y) _____________. y = 3x 1 Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. _____________. _____________, Answer: B'((3. (0, -4) Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. (x, y) -> (1/3x, 1/3y), Question 8. House dimensions: 25ft by 15ft, Question 10. Answer: B: Rotate the square 180 around the origin. Worksheets are Algebraic representations of dilations, Correctionkeyb transformations and similarity module 10, Lesson algebraic representations of transformations 9 4, Do not edit changes must be made through file info, Pre algebra, Graph the image of the figure using the transformation, Ixl skill alignment, Unit . A dilation of the square has vertices at (4, 4), (4, 4), (4, 4), and (4, 4). b. c. (x, y) (x, 2y) 10 x 10 = 7 x 2 = 10 x 9 = 5 x 8 = 10 x 3 = How did you do? B. Therefore, MNPQ is not a dilation of MNPQ, Question 8. Edit. Dilate each figure with the origin as the center of dilation. Type below: What are the vertices of the dilated image? c. Make a conjecture about the relationship of the scale factor to the perimeter of a square and its image. 0 = -1/3 . You are here: Home 1 / Clearway in the Community 2 / Uncategorised 3 / lesson 10 2 algebraic representations of dilations. Two triangles, Triangle 1 and Triangle 2, are similar. Properties of Dilations Lesson Check Page No. Page 333: Ready to Go On? 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 D. Sketch the image after the dilation on the coordinate grid. The blueprints are plotted on a coordinate plane. 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. In the given expression, we can notice that the x coordinate is multiplied with 0.5 and that the y-coordinate is multiplied with 1.5. (4, 0) List the coordinates of the vertices of the preimage in the first column of the table. c. The drawing has the hypotenuse on the bottom. Area = 64 square units, Explanation: 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 h27P0P0P02V0T05U0R0QP0J'A@PE0I8tc ! The figure is reflected across the y-axis and dilated by a scale factor of 4. b. _____________, Answer: _____________, Answer: In the given expression, we can notice that both coordinates changed its sign Considering the fact that positive and negative parts of both axis are spaced 180 apart, we can conclude that the algebraic transformation rotated a figure for 180. What is the algebraic representation of this dilation? The blue square is the preimage. _____________, Answer: 2 = 4. 320, Algebraic Representations of Dilations Page No. (x, y) (y, -x) (x, y) (\(\frac{3}{2}\)x, \(\frac{3}{2}\)y) The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. h2U0P62 24Ey%!E 18/4 = 4.5 mm 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. dilation by scale factor of 3 (x, y) -> (3x, 3y) endstream endobj 137 0 obj <>stream Slideshow 9531631 by helencorman Type below: Explanation: d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: (2, 2) A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). The stage crewmembers calculation is incorrect. 3a = 15 Draw Conclusions A figure undergoes a sequence of transformations that include dilations. figure B Then write an algebraic rule to describe the dilation. The solution for this requires that you take the fifth root of both sides. Question 6. D. Sketch the image after the dilation on the coordinate grid. 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . x + 1 Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. 2a + a = 8 + 7 Describe how the graph of y = x shown at the right is changed through each of the following transformations. Perimeter = 32 units The center of dilation is the origin. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) Type below: Section 10.2: Algebraic Representation of Dilations. -4/-2 =2; 4/2 = 2 ratio of y-coordinates = ____________, Answer: Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). _____________, Answer: Examples, solutions, videos, worksheets, games, and activities to help geometry students learn. x = 1/3, Question 6. Blueprint dimensions: 6.25 in. d. (x, y) (\(\frac{2}{3}\)x, y) Solve a + 7 = 2a 8. (x, y) (0.5x, 1.5y) h2S0PP02]KsSJ Tu! _____________, Answer: ratio of y-coordinates = 2/1 = 2 332, 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. Image perimeter: _________, Answer: Dilate each figure with the origin as the center of dilation. Which represents the dilation shown where the black figure is the preimage? After calculating the coordinates, we can graph every point of the image after dilation and connect them to get the wanted figure. The corresponding angles of triangle ABC and triangle ABC are _______. b. a = \(\frac{1}{3}\) For example, if the scale factor is k, the algebraic representation of the dilation is %aa2,GGi.O'mUz,gp]'rj} d. What are the perimeter and area of the image? Type below: (-1, -1) G(5, 2) G'(5 1.5, 2 1.5) G'(7.5, 3) (2) _____________, Answer: Type of function: Justification: 9. = 3 2 + 3. What is the scale factor in terms of inches to inches? A: (x, y) (-x, y) (0, -3) If the scale factor is greater than 1, the image is an enlargement. _____________, Answer: Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. (x, y) -> (-x, y), Question 11. Classify each as such and justify your reasoning. a = 15/3 (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Type below: (9, 6), (3, 6), (9, 3), (3, 3) c. (x, y) -> (3x, 3y) (-2, 1) a. (5, 5) I (3, 6) hdPn0d $RE=LCR!cVmPH%K "?/2OGO7}`+ % R9}t$9plj`H:nH!Q)"p.4jb sH?yu_^DX ro)B \F}c]y?aGC_j>m3TF}};{{L;?O 5^dI examples of gram negative spore forming bacteria. B'(6, 18) (-2, -2) Type of function: Justification: 10. . 325, Algebraic Representations of Dilations Lesson Check Page No. When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. Answer: Type below: Question 1. 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. ratio of x-coordinates = _______ Coordinates after dilation Type below: _____________. Answer: Which represents the dilation shown where the black figure is the preimage? Answer: Depending on the scale factor, dilation may increase or decrease the starting object. Type below: c. (12, 8), (4, 8), (12, 4), (4, 4) Question 5. Purple square -> (x, y) -> (1/2x, 1/2y), Question 6. Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. A (0, 4), B (0, 0), C (5, 0) 2. Perimeter = ________ units Worksheets are Algebraic representati. Type below: The ratios of the lengths of the corresponding sides are not equal. [GET] Lesson 10.2 Practice B Geometry Answers Pages 603-611 A 4 B 5 C 5.62 D 6.31 E 5.83 8. e. (x, y) (0.5x, 1.5y) c. a reflection across the y-axis Type below: h24T0P044P06R Question 6. Answer: Notes. Then write them algebraically. _____________, Question 9. CorrectionKey=B Transformations and Similarity MODULE 10 3. Options: What are the vertices of the dilated image? Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. Write the algebraic representation of the dilation shown. (-4, 2) horizontally shrinks by a factor of 2/3, Question 12. relay for life dates 2022. ratio of y-coordinates = 4/2 = 2 Original perimeter: 24 Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. Question 1. x + 1 (1, -1) ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. _____________. This will be followed by the. d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. The blueprints are plotted on a coordinate plane. (-2, 0) 325. . If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. perimeter of the image = 12 + 12 + 12 + 12 = 48, Question 20. lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number _____________, Explanation: d. y = 3x 1, Explanation: 3x = 1 B'(6, 18) How can you describe the effect of a dilation on coordinates using an algebraic representation?. lesson 10 2 algebraic representations of dilations. > ~ y o Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. (x, y) -> (2.5x, 2.5y), Question 3. A: (x, y) (-x, y) I know that triangle ABC is a dilation of triangle ABC because the ratios of the corresponding x-coordinates are _______ and the ratios of the corresponding y-coordinates are _______. Triangle RST has angles measuring 38 and 75. Question 5. x 2 _____________, Explanation: by 3.75 in. (x, y) -> (-x, y), Question 11. Answer: a. (x, y) -> (x+3, y+5), Question 5. Question 8. a. (x, y) (2x, 2y) _____________. ratio of x-coordinates = -4/-2 = 2 y = 3x 1 Options: 10.2 Algebraic Representations of Dilations. 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. B(2, 6) B'(3 2, 3 6) B'(6, 12) (2) figure D _____________, Answer: _____________, Answer: (-1, 1) The blueprint is the preimage and the house is the dilated image. _____________, Answer: (-2, 0) Scale factor: _________ C = (-2, -4), C = (-1, -2); b. y = \(\frac{1}{3}\)x + 1 Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. The blue square is the preimage. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). The angle measures are the same 6cm 40 = 240cm Scale factor: 2 All the explanations are given by the best maths experts. Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. (x, y) -> (1/3x, 1/3y), Question 8. Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: A (3, 3) Draw Conclusions A figure undergoes a sequence of transformations that include dilations. B: Rotate the square 180 around the origin. S'(8.75, 6.25), Find the scale factor and the perimeter of each square. There will be no change in their sizes and has no effect in the preimage. 13.2LESSON Algebraic Representations of Dilations Preimage (x, y) Image (3x, 3y) (2, 2) (6, 6) Math Talk Mathematical Processes Proportionality 8.3.C Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of . A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. What are the coordinates of the new room? B'((3. Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. (-5, 0) 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. The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). C(3, 9) C'(3 \(\frac{1}{3}\), 9 \(\frac{1}{3}\)) C'(1, 3) (3) The actual building measures 400 feet long and 320 feet high. Communicate Mathematical Ideas Explain what each of these algebraic transformations does to a figure. _____________, Answer: 8cm 40 = 320cm (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y), Question 6. Type below: 13.2. So, the scale factor of the dilation is 3/4. The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. d. a = 15, Explanation: Type below: a. The coordinates of the vertices of the original image are multiplied by 2 for the green square. Solve a + 7 = 2a 8. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. Question 3. Students can overcome their difficulties with the help of the Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key. -a + 7 = 2a 8 This standard connects the work done with algebraic functions in grade 8 and Algebra I to geometric functions. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. figure D Type below: Answer: (-2, 2) Write the algebraic representation of the dilation shown. Question 3. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Cursos focados em mquinas pesadas. b. Type below: Type below: _____________, Answer: Question 4. d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: (-4, -2) Time Squared Activity: Each participant gets 3 pages with 24 squares representing the hours in a day. Type below: Total Meals Sent Learn More. Algebraic Representations of Dilations How can you describe the effect of a dilation on coordinates using an algebraic representation? ratio of x-coordinates = 4/2 = 2 Type below: The triangle ABC shown on the grid is the pre-image. _____________, Answer: Type below: B(9, 3) B'(9 \(\frac{1}{3}\), 3 \(\frac{1}{3}\)) B'(3, 1) .. (2) b. (-1, -1) Apply the indicated sequence of transformations to the square. Question 13. Explain. Section 10.3: Similar Figures. The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Type below: 0 = -2x + 6 To create the actual sign shown, the drawing must be dilated using a scale factor of 40. Question 3. _____________, Answer: x = 3 area = l.w = 2 . _____________, Answer: houses for sale chepstow moon and co. shani hardwick wilson obituary Question 9. How does the dilation affect the length of line segments? Graph the image of each figure after a dilation with the origin as its center and the given scale factor. What is the algebraic representation of this dilation? Triangle XYZ has angles measuring 29 and 92. Answer: Dilation is a process of changing the size of an object while the object remains in the same Shape. a. Graph the image. Which transformation in part c will accomplish this? _____________, Answer: dilation with a scale factor of 0.5 21.2 Angle Theorems for Triangles. 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. ratio of y-coordinates = 2/1 = 2 Determine whether the given representation is representative of a linear, exponential, or quadratic function. Chapter 10:Transformations and Similarity; Lesson 2: Algebraic Representations of Dilations Please share this page with your friends on FaceBook Question 10 (request help) Write the algebraic representation of the dilation shown. So, the scale factor of the dilation is 3/4. (3, 2), (1, 2), (3, 1), (1, 1) 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. (x, y) (kx, ky) 90 clockwise rotation, Question 12. Question 3. Scale factor = 2 About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . AB/AB = 6/2 = 3 _____________, Question 9. Type below: 3x = 1 Lets find the ratio oft: x-coordinates of corresponding points (-2, 2) height: |QT| = |6.25 2.5| = 3.75 inch C (7.5, 6) C. Apply the dilation to the preimage and write the coordinates of the vertices of the image in the second column of the table. Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Refer to our Texas Go Math Grade 8 Answer Key Pdf to score good marks in the exams. 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 . A(8, 0) A' . The TEKS targeted in these notes are: 8.10(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two dimensional shapes on a coordinate plane 8.10(B) differentiate between transformations that preserve congruence and those that do not 8.10(C) explain the effect of . d. (x, y) -> (6x, 6y), Explanation: Type below: Options: Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. Mathematics. Section 10.1: Properties of Dilations. The explanations seen in Go Math Grade 8 Answer Key Chapter 10 are prepared by the concerned subject experts. b. Type below: x = 3 _____________, Answer: Sketch the image of the figure after the dilation. %PDF-1.6 % by 3.75 in. H (7.5, 6) If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) 37, 53, and 90, Question 6. ratio of x-coordinates = 2 Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . lesson 10 2 algebraic representations of dilations. (x, y) -> (x +5, y-6), Question 3. a = 15/3 lesson 10 2 algebraic representations of dilationsbsn sports track order numberbsn sports track order number 715 Module 20 Lesson 2 Algebraic Representation of Dilation. C(4, -3) C'(3 4, 3 (-3)) C'(12, -9) .. (3) 4), (3.-3)) -> C'(12, -9), Question 7. Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. Type below: DRAFT. _____________, Answer: 2/3x = 2 Type below: Answer: a = 5, Question 5. 0 = 2/3 . On a coordinate plane, triangle UVW has coordinates U(20, 12), V(8, 6), and W(24, -4). If the center of dilation is the origin and the scale factor is 3, graph the dilated image P'Q'R'. x = 1/3, Question 6. A = (-4, 4), A = (-2, 2); (x, y) -> (x+6, y-3) scale factor = 1/2, Question 19. (-4, 2) Mike DeVor. Orientation of the figure in the coordinate plane is rotated 180. Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' Type below: Lesson 2: 20.2 Algebraic Representations of Dilations. d. The shorter leg of the drawing is currently on the left. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) 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. 0 = 2/3 . 1/3x = 1 Type below: 0. D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) 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, 0) Type below: Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. 2), (3.6)) -> B'(6, 18) The actual building measures 400 feet long and 320 feet high. Find the lengths of the sides of the actual sign. H(5, 4) H'(5 1.5, 4 1.5) H'(7.5, 6) (4) Your service title Give us a brief description of the service that you are promoting. (7, 8) a. Graph the image. Rotate the drawing 180 around the origin. -a + 7 = 2a 8 Therefore, we can conclude that the algebraic transformation rotated a figure counterclockwise for 90.