lesson 10 2 algebraic representations of dilations

_____________, Answer: 325, Algebraic Representations of Dilations Lesson Check Page No. )X}Dh=64z!vv 8 Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). _____________, Answer: C = (-2, -4), C = (-1, -2); Coordinates after dilation Write the algebraic representation of the dilation shown. x 2 Type below: C: (x, y) (x 5, y 6) 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. Multiply each coordinate by the scale . A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. h24T0P044P06R b. Original perimeter: 24 What is Dilation? Scale factor: ________, Question 9. C: (x, y) (x 5, y 6) _____________, Answer: Two triangles, Triangle 1 and Triangle 2, are similar. 15/5 = 3 mm ratio of y-coordinates = ____________, Answer: Length of MN, given M(4.5, 6), N(9, 6). a. _____________, Answer: Type below: The square is dilated under the dilation (x, y) (0.25x, 0.25y). Multiply each coordinate of the vertices of triangle ABC by \(\frac{1}{3}\) to find the vertices of the dilated image. Classify each as such and justify your reasoning. Answer: 10/4 = 2.5 c. (x, y) (x, 2y) _____________, Explanation: . The vertices of the dilated image are F'(3.5, 3.5), G'(7.5, 3.5), H'(7.5, 6) and I'(, 9). _____________, Answer: Identify the scale factor used in each dilation. figure B A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). 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. 21/7 = 3 mm Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number c. (x, y) -> (3x, 3y) (-1, -1) Type below: Question 8. (x, y) -> (x, y+6) The corresponding angles of triangle ABC and triangle ABC are congruent. Type below: Graph the image of each figure after a dilation with the origin as its center and the given scale factor. Which transformation in part c will accomplish this? Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Apply each transformation to the image of the previous transformation. Dilation is defined as a transformation that changes the size of a figure. (0, -3) h2W0P+-60rb X;; | (0, 4) The center of dilation is the origin and (x, y) (3x, 3y). Q'(2.5, 2.5), When k is greater than 1, the dilation is an enlargement by the scale factor k. Question 5. area = l.w = 2 . Type below: The backdrop scale factor is 1/20, not 1/12, Question 12. Type below: Question 9. (-4, -2), Question 12. 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. a. What are the coordinates of the new room? Type below: Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. Question 1. (-1, -1), Question 6. How can you describe the effect of a dilation on coordinates using an algebraic representation?. a. _____________, Question 12. (x, y) (y, -x) a. Triangle RST has angles measuring 38 and 75. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Area = 64 square units, Explanation: What is the length of a side of the image? area = l.w = 8 .8 = 64, Question 6. MN = \(\sqrt{(9-4.5)^{2}+(6-6)^{2}}\) The blueprint is the preimage and the house is the dilated image. Type of function: Justification: 10. . 320, Algebraic Representations of Dilations Page No. Therefore, MNPQ is not a dilation of MNPQ, Question 8. Question 6. Options: Then write an algebraic rule to describe the dilation. The figure is reflected across the y-axis and dilated by a scale factor of 4. Find the scale factor and the perimeter of each square. Algebraic Representations of Dilations. The corresponding angles of triangle ABC and triangle ABC are _______. (3) c. (x, y) -> (x, -y); (x, y) -> (3x, y) (x, y) -> (1/4x, 1/4y) Answer: (-4, -2) Question 3. k = \(\frac{M^{\prime} N^{\prime}}{M N}\) Area = 4 square units, Explanation: Quadrilateral MNPQ has side lengths of 5 mm, 8 mm, 7 mm, and 4 mm. The blue square is the preimage. Graph the image of the figure using the transformation given. Triangle RST has angles measuring 38 and 75. 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. Question 2. 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. _____________, Answer: House dimensions: 25ft by 15ft, Question 10. Dilation Geometry Definition: A dilation is a proportional stretch or shrink of an image on the coordinate plane based on a scale factor. A(0, 2) A'(0, 4) Question 6. letter of the transformation applied. In the given expression, we can notice that the x coordinate is multiplied with \(\frac{2}{3}\). Type below: Answer: 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? When k is between 0 and 1, the dilation is a reduction by the scale factor k. 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 . The perimeter of the image is the perimeter of the original figure times the scale factor, Question 1. _____________, Answer: -4/-2 =2; 4/2 = 2 Make a Conjecture )ABC Some dilations are reductions. endstream endobj 132 0 obj <>stream Type below: Question 2. The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. 4), (3.-3)) -> C'(12, -9), Question 7. A (3, 3) The angle measures are the same 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). Original perimeter: _________ No; one figure is not a dilation of the other, Explanation: _____________, Explanation: 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. (0, -4) Type below: One inch on the blueprint represents how many inches in the actual house? 0 = 2/3 . Question 4. R'(8.75, 2.5), More lesson videos. Question 3. height: |QT| = |6.25 2.5| = 3.75 inch _____________, Explanation: c. a = 5 Answer: coordinates for A One inch on the blueprint represents how many inches in the actual house? I (3, 6) The blueprints are plotted on a coordinate plane. Answer: Unit 9 Review. a. x + 1 (kx, ky) (\(\frac{1}{k}\)(kx), \(\frac{1}{k}\)(ky)) (x, y) (-2, 0) If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. Slideshow 9531631 by helencorman d. (x, y) (\(\frac{2}{3}\)x, y) (x, y) -> (1.5x, 1.5y) 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. (0, 1) Some dilations are enlargements. Identify a sequence of two transformations that will transform figure A into the given figure. ADDITIONAL EXAMPLE 1. Make a Conjecture Total Meals Sent Learn More. Type below: 90 clockwise rotation, Question 12. A dilation of the square has vertices at (6, 6), (6, 6), (6, 6), and (6, 6). (0, 4) Algebraic Representations of Dilations You dilate a figure using the origin as the center of dilation. e. What are the dimensions of the new room, in inches, on the blueprint? 2x = 6 Area = 64 square units, Explanation: y^m52p=Dupxm`>szry]-Ma!BH#0JT4X%`AcBM&1u)IQJS 9sNgql@IF2.P1 3u,P d. y = 3x 1, Explanation: A stage crewmember writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. The image is congruent to the original figure. 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. a = 5, Question 5. For example, if the scale factor is k, the algebraic representation of the dilation is (x, y) (y, -x) Question 2. _____________, Explanation: 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. Your service title Give us a brief description of the service that you are promoting. ABC(x,y) * (x,y. Type below: (3, 4) a. Options: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Type below: If the scale factor k is between 0 and 1 the image is a reduction. 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. 8th Grade Texas Mathematics: Unpacked Content 5. (2, 2) How can you find the scale factor of a dilation? The lengths are 240 cm, 320 cm, and 400 cm, Question 6. 10cm 40 = 400cm horizontally shrinks by a factor of 0.5 and vertically stretches by a factor of 1.5, Question 13. The angle measures are the same In this lesson, you will learn multiples of 11. 10cm 40 = 400cm The square is dilated under the dilation (x, y) (0.25x, 0.25y). Mod 20-2.mp4. F(2, 2) F'(2 1.5, 2 1.5) F'(3, 3) .. (1) Which equation does not represent a line with an x-intercept of 3? (3, 2), (1, 2), (3, 1), (1, 1) 325. . MN = \(\sqrt{(6-3)^{2}+(4-4)^{2}}\) Page 333: Ready to Go On? Options: (-5, 0) (x, y) -> (x +5, y-6), Question 3. (x, y) -> (1/5x, 1/5y), Question 10. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. A stage crew member writes (x, y) (\(\frac{1}{12}\)x, \(\frac{1}{12}\)y) to represent the dilation. B'(6, 18) Type below: Type below: The algebric dilation is (x, y) (48x, 48y). c. Write the algebraic representation of the dilation from the blueprint to the house. C: (x, y) (x 5, y 6) ratio of y-coordinates = 2/1 = 2 What is the length of a side of the image? Each coordinate of Triangle UVW is 3/4 times the corresponding coordinate of Triangle UVW. d. a = 15, Explanation: coordinates for B For scale factors between 0 and 1, the image is smaller than the preimage. Depending on the scale factor, dilation may increase or decrease the starting object. (0, 4) Graph the image of the figure using the transformation given. Type below: _____________. How does the dilation affect angle measures? _____________, Answer: Sketch triangle ABC and ABC for the dilation (x, y) (-2x, -2y). Answer: Describe how the graph of y = x shown at the right is changed through each of the following transformations. algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. F (3, 3) Area = ________ square units, Answer: (-4, 3) The vertices of the ditilated image are X'(1, 1), Y'(3, 3) and Z'(1, 3), Texas Go Math Grade 8 Lesson 13.2 Guided Practice Answer Key. _____________, Answer: What are the coordinates? D: (x, y) (\(\frac{1}{2}\)x, \(\frac{1}{2}\)y) How many feet? 0 = 3x 1 Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Type below: 2/3x = 2 _____________, Answer: x = 3 ratio of y-coordinates = -4/-2 = 2, Question 2. A: (x, y) (-x, y) Type below: endstream endobj 134 0 obj <>stream A designer creates a drawing of a triangular sign on centimeter grid paper for a new business. Type below: After the sequencing of transformations, reflection over the y-axis. The center of dilation is the origin and (x, y) (3x, 3y). Answer: ________. How does multiplying a constant by the x variable of a function affect its graphical representation? Type below: Write the algebraic representation of the dilation shown. endstream endobj 133 0 obj <>stream Algebraic Representations Of Dialations Worksheets - total of 8 printable worksheets available for this concept. (x, y) (2.5x, 2.5y) _____________, Answer: A (3, 3) Many students have loved the way of explanation given on Go Math Grade 8 Answer Key on our website. b. ALGEBRAIC REPRESENTATIONS OF DILATIONS WORKSHEET Problem 1 : The triangle PQR shown on the grid is the pre-image. 320, Algebraic Representations of Dilations Page No. Solve a + 7 = 2a 8. (-4, 0), Question 4. Type below: Is the crew members calculation correct if the painted replica is to cover the entire backdrop? Rotate the image 90 counterclockwise and dilate it by a factor of 1/5. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. Question 7. _____________, Answer: Answer: Type below: d. a = 15, Explanation: dilation by scale factor of 3 (x, y) -> (3x, 3y) Name:&_____& &&&&&Date:&_____& Lesson:'10.2'Algebraic'Representations'of'Dilations'' b. For 711, tell whether one figure is a dilation of the other or not. I (3, 6) _____________, Answer: _____________, Answer: 326, Similar Figures Lesson Check Page No. We have provided the Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity in the pdf format so that you can practice in online and offline mode. _____________, Answer: Question 2. by 3.75 in. (x, y) -> (1/3x, 1/3y), Question 8. The corresponding angles of triangle ABC and triangle ABC are congruent. coordinates for A Find the scale factor and the perimeter of each square. Which equation does not represent a line with an x-intercept of 3? c. What are the perimeter and area of the preimage? 4. e. What are the dimensions of the new room, in inches, on the blueprint? and find the ratio of heigh: \(\frac{16}{320}\) = \(\frac{1}{20}\) Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? b. Scale factor = 2 d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Answer: (0, -4) Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Explain your reasoning. Determine whether one figure is a dilation of the other. Answer: Type below: MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5), and P(4.5, 10.5). lesson 10 2 algebraic representations of dilationsasterisk sip reload not working. a dilation produces an image similar to the original figure, Question 10. facial recognition time clock no monthly fee; mower deck spindle replacement _____________. Coordinates after dilation At least one transformation must be a dilation with a scale factor other than 1, Question 6. Type below: Multiply each coordinate of the vertices of rectangle FGHI by 1, 5 to find the vertices of the dilated image. (-3, -4) About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators . a. a dilation by a scale factor of 4 _____________, Answer: Emathinstruction Algebra 1 Unit 10 Answer Key. (-3, -4) -a + 7 = 2a 8 ______ units, Question 6. A. Options: June 5, 2022 Posted by: Category: Uncategorized 20.3 Similar Figures. B (7.5, 3) _____________. (-2, 0) Type below: lesson 10 2 algebraic representations of dilations The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals _______. 'LODWLRQV3UDFWLFH 6. (-2, 0) The vertices of the dilated image are A'(1, 1), B'(3, 1), and C'(1, 3). The figure is dilated by a scale factor of 0.5 and translated 6 units left and 3 units up. Type below: Triangle XYZ has angles measuring 54 and 29. 77% average accuracy. coordinates for B C = (-2, -4), C = (-1, -2); ratio of y-coordinates = _______ ratio of x-coordinates = -4/-2 = 2 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. 2/3x = 2 Explanation A: how to install glue down carpet tiles > calgary obituaries 2021 > lesson 10 2 algebraic representations of dilations. Type below: Save or instantly send your ready documents. _____________, Answer: 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 . After dilation AB/AB = 2/4 = 1/2 _____________, Explanation: (-4, 3) A'(-\(\frac{1}{2}\), 1) , B'(\(\frac{1}{2}\), 1) C'(0, -1). Type below: Thus Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and start your practice. How can you find the scale factor of a dilation? vertically stretches by a factor of 2, Question 12. You can use dilations when drawing or designing, Question 1. ________ inches d. (x, y) -> (x, -y); (x, y) -> (3x, 3y), Explanation: Scale factor = 2 What is the algebraic representation of this dilation? (-4, 2) Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. _____________. y = 3x 1 Multiple Choice Use the diagram below to find the value of x. . The center of dilation is the origin. c. (x, y) -> (3x, 3y) 10.2 Solving Exponential Equations - Intermediate Algebra. area = l.w = 8 .8 = 64, Question 6. Represent Real-World Problems The blueprints for a new house are scaled so that \(\frac{1}{4}\) inch equals 1 foot. (x, y) -> (x, -y) (5, 5) 2 = 4. (3, 8) d. (15, 10), (5, 10), (15, 5), (5, 5), Answer: D. Sketch the image after the dilation on the coordinate grid. Let x and y be the coordinates of the original image When a dilation n 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 k, that is Since 1 foot = 12 inch, the scale factor is k = \(\frac{12}{\frac{1}{4}}\) = 48, b. -4/-2 =2; 4/2 = 2 Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Question 6. https://www.emathinstruction.com . Triangle XYZ has angles measuring 29 and 92. Perimeter = 2l + 2w = 2(8) + 2(8) = 32 x + 1 Type below: HMH Into Math Grade 8 Module 2 Lesson 2 Answer Key Explore Dilations. Translate the image 3 units down and 6 units right and dilate it by a factor of 2 Cursos focados em mquinas pesadas. Type below: [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. 4. Question 4. Type below: Two triangles, Triangle 1 and Triangle 2, are similar. _____________, Answer: Question 7. b. Question 5. The figure is dilated by a scale factor of 5 and rotated 90 clockwise. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). View this Page Question 7. House dimensions: 25ft by 15ft, Question 10. _____________, Answer: You can use dilations when drawing or designing, Question 1. Graph the image of each figure after a dilation with the origin as its center and the given scale factor. The triangle ABC shown on the grid is the pre-image. (3, 2), (1, 2), (3, 1), (1, 1) Answer: Green square: (x, y) (2x, 2y) The coordinates of the vertices of the original image are multiplied by _1 2 Scale factor: _________ algebraic rule: (x, y) -> (1/3x, 1/3y), Question 4. perimeter of the original square = 6 + 6 + 6 + 6 = 24 Worksheets are Algebraic representati. _____________. List the coordinates of the vertices of the preimage in the first column of the table. Answer: d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. . The figure and its final image are congruent. 324, Algebraic Representations of Dilations Page No. No; the dilation is not the same reversed, Explanation: _____________, Answer: During the video lesson have students: Take notes on the material. A = (-4, 4), A = (-2, 2); _____________, Answer: class problems. Write the coordinates of some of the points on first graph: A(-2, 4), B(2, 4), C(0, -4), and on second graph: (-2, 0) endstream endobj 136 0 obj <>stream C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . (1, 1) Type below: (x, y) -> (2.5x, 2.5y), Question 3. Filled table is shown in the picture below. ________. 8cm 40 = 320cm (x, y) -> (2x, 2y), Question 9. B(-2, 1) B'( 2 ( 2), 2 1) B'(4, -2) .. (2) (x, y) (-x, -y) Jot down . Apply the indicated sequence of transformations to the square. MN = 3, Now, let us determine the value of k, that is Complete the table by writing same or changed to compare the image with the original figure in the given transformation. The actual building measures 400 feet long and 320 feet high. b. Mike DeVor. _____________. Type below: Divide a side length of the dilated figure by the corresponding side length of the original figure. Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . A_____ B_____ C_____ 2. The figures are similar is they are the same shape but different size SO one is a dilation of the other, Question 11. Sketch the image of the figure after the dilation. d = \(\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}\) _____________, Answer: scale factor of \(\frac{1}{3}\) A(-5, -4) A'(3 (-5), 3 (-4)) A'(-15, -12) (1) The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. How would a dilation with scale factor 1 affect the preimage? a. 0 = 2/3 . Triangle RST has angles measuring 67 and 38. b. b. a = \(\frac{1}{3}\) Type below: Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. (x, y) (kx, ky) 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 .

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