lesson 10 2 algebraic representations of dilations

Participants need to fill out: The first page . Explain how this can happen. Multistep As with geometric figures, graphs can be transformed through translations, reflections, rotations, and dilations. T'(2.5, 6.25), Question 9. House dimensions: 25ft by 15ft, Question 10. _____________, Explanation: Type below: Sketch the image of the figure after the dilation. How many feet? -a + 7 = 2a 8 _____________, Answer: endstream endobj 133 0 obj <>stream ________. cfelg. y = 2/3 . Therefore, considering the fact that the coordinate is multiplied with a number smaller then 1 and the fact that the y coordinate is multiplied with a number bigger then 1, we can conclude that given figure is horizontally shrikned and vertically streched. Identify the sequence of transformations that will reflect a figure over the x-axis and then dilate it by a scale factor of 3. Answer: Thus, the dilation has no effects on the measures of the angles of the image. 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, -2) Options: c. (12, 8), (4, 8), (12, 4), (4, 4) (-2.5, 2.5) c. The drawing has the hypotenuse on the bottom. (-4, 3) How many feet? The drawing has sides measuring 6 cm, 8 cm, and 10 cm, and angles measuring 37, 53, and 90. e. (x, y) (0.5x, 1.5y) x + 1 How can you find the scale factor of a dilation? Triangle RST has angles measuring 38 and 75. Which equation does not represent a line with an x-intercept of 3? (0, -4) Green square -> (x, y) -> (2x, 2y) 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. Find the angle measures of the actual sign. translation 2 units left and 2 units up, Question 6. Substituting the value of k Answer: Both Triangle S have Angle S of measures 38, 67 and 75. 90 clockwise rotation, Question 12. Represent Real-World Problems The blueprints for a new house are scaled so that $\frac{1}{4}$ inch equals 1 foot. D: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y) y = 3x 1 e. What are the dimensions of the new room, in inches, on the blueprint? (x, y) -> (x +5, y-6), Question 3. Options: endstream endobj 134 0 obj <>stream Determine the coordinates of its image after a dilation with the given scale factor centered at the origin. The ratios of the lengths of the corresponding sides are not equal. G7 Math Lesson 10.2 Algebraic Representations of Dilations STUDY Flashcards Learn Write Spell Test PLAY Match Gravity algebraic expression Click card to see definition Click again to see term 1/15 Created by weiennlee TEACHER Terms in this set (15) algebraic expression dilation vertex (plural: vertices) (:vertices) What are the vertices of the dilated image? Critical Thinking A dilation with center (0,0) and scale factor k is applied to a polygon. lesson 10 2 algebraic representations of dilationsasterisk sip reload not working. Justify Reasoning The graph of the line y = x is dilated by a scale factor of 3 and then translated up 5 units. (-2, 0) (-4, 4) Image perimeter: 32, Explanation: y = -1/3 . Dilation is a process of changing the size of an object while the object remains in the same Shape. (3, 4) Question 8. Type below: _____________, Answer: A dilation with center (0, 0) and scale factor k is applied to a polygon. 2/3x = 2 _____________, Answer: (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. Save or instantly send your ready documents. ADDITIONAL EXAMPLE 1 Graph the image of rectangle JKLM after a dilation with the origin as its center and a scale factor of 2. Your service title Give us a brief description of the service that you are promoting. b. Label each image with the Type of function: Justification: 9. = 3 2 + 3. b. (-2, 2) k = $\frac{2}{3}$, Next, Let us represent the dilation algebraically, using Jot down . (x, y) -> (-y, x) b. _____________. 10.2 Algebraic Representation of Dilation - YouTube 8th grade go math 8th grade go math AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow YouTube. a. View this Page Math 7 Accelerated - Computech Mathematics https://darthmuster.com/math-7-accelerated/ Transformation and Similarity, 20.1 Properties of Dilations 20.2 Algebraic Representations of Dilations 20.3 Similar Figures. Algebra Review. (-6, -2) 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. Type below: Question 7. Since 1 foot = 12 inch, the scale factor is k = $\frac{12}{\frac{1}{4}}$ = 48, b. The position of the sketch from 12A will be 1/2 unit above the sketch obtained when the translation occurs first. Type below: _____________, Question 12. $JTdDP~~@ x Question 1. letter of the transformation applied. What are the vertices of the image? Which transformation in part c will accomplish this? AB/AB = 2/4 = 1/2 ratio of x-coordinates = _______ Dilate the image by a scale factor of 1/3 and reflect it back across the x-axis. (x, y) ($\frac{3}{2}$x, $\frac{3}{2}$y) Identify a sequence of two transformations that will transform figure A into the given figure. _____________, Answer: D: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y) d. A rectangular room has coordinates Q(2, 2), R(7, 2), S(7, 5), and T(2, 5) on the blueprint. Critical Thinking A triangle has vertices A(-5, -4), B(2, 6), and C(4, -3). Type below: Edit. _____________. A. So, to have the best online maths practice, follow the questions, answers, and explanations available on Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity. Question 5. AB/AB = 2/4 = 1/2 (x, y) -> (2x, 2y), Question 9. a. algebraic rule: (x, y) -> (1.5x, 1.5y), Question 3. Easily fill out PDF blank, edit, and sign them. What are the vertices of the dilated image? (4, 0) Try keep it short so that it is easy for people to scan your page. C(-2, 4) C'( 2 (- 2), 2 4) C'(4, -8) . Type below: Then write an algebraic rule to describe the dilation. a. b. Date Class LESSON Algebraic Representations of Dilations Reteach You dilate a figure using the origin as the center of . D: (x, y) ($\frac{1}{2}$x, $\frac{1}{2}$y) The corresponding angles of triangle ABC and triangle ABC are congruent. C = (-2, -4), C = (-1, -2); (x, y) -> (x, -y); (x, y) -> (3x, 3y), Question 4. 21.1 Parallel Lines Cut by a Transversal. Download Go Math Grade 8 Chapter 10 Transformations and Similarity Answer Key PDF and begin your practice. What are the coordinates? _____________, Answer: ratio of y-coordinates = _______ _____________. Write the coordinates of the vertices of the preimage in the first column of the table. relay for life dates 2022. (1, 1) Problem 1 What are the characteristics of an enlargement? Reflection over x-axis (x, y) -> (x, -y) Depending on the scale factor, dilation may increase or decrease the starting object. Type below: Answer: Image perimeter: _________, Answer: A (0, 4), B (0, 0), C (5, 0) 2. Answer: 2/3x = 2 MN/MN = 3/4.5 = 2/3 The grid shows a diamond-shaped preimage. C = (-2, -4), C = (-1, -2); ratio of x-coordinates = 2 Triangle XYZ has angles measuring 29 and 92. 7. (x, y) -> (1.5x, 1.5y) Type below: How does multiplying a constant by the x variable of a function affect its graphical representation? a. Graph the image. Perimeter = 2l + 2w = 2(8) + 2(8) = 32 area = l.w = 2 . coordinates for B (x, y) (0.5x, 1.5y) Answer: original coordinates (-2.5, 2.5) Describe how the graph of y = x shown at the right is changed through each of the following transformations. horizontally shrinks by a factor of 2/3, Question 12. B: Rotate the square 180 around the origin. The business owner would like it on the top. A(0, 2) A'(0, 4) 7. 2 7 3 12 4 19 5 28 Type of function: Justification: 8. Go Math Grade 8 Answer Key Chapter 10 Transformations and Similarity Online PDF to help the students to practice maths. The first one is done for you. 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) -6/-3 =2; 6/3 = 2 Type below: Original perimeter: _________ Question 3. I (3, 6) Which transformation in part c will accomplish this? Explain. _____________, Question 12. LESSON 10-2 . The figure and its final image are congruent. If you draw a line connecting each pair of corresponding vertices, the lines will intersect at the center of dilation, Question 20. letter of the transformation applied. What is the algebraic representation of this dilation? (-2, -2), Question 12. You can use dilations when drawing or designing, Question 1. ________ inches For example, if the scale factor is k, the algebraic representation of the dilation is The stage crewmembers calculation is incorrect. h2U0P62 24Ey%!E After dilation _____________, Answer: C'((3. a. y = -1/3 . C: (x, y) (x 5, y 6) Question 6. Type below: _____________. Write the coordinates of the vertices of the preimage in the first column of the table. Triangle RST has angles measuring 67 and 38. If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other? (-6, -2) B (7.5, 3) Displaying all worksheets related to - Lesson Algebraic Representation Of Dilations 102. Multiply each coordinate of the vertices of ABC by 3 to find the vertices of the dilated image. B: Rotate the square 180 around the origin. Write the algebraic representation of the dilation shown. Answer: G (7.5, 3) Answer: Properties of Dilations Lesson Check Page No. coordinates for A MN = $\sqrt{(6-3)^{2}+(4-4)^{2}}$ Make a Conjecture (x, y) (-x, -y) (-6, 1), Question 13. _____________, Answer: hWKo@+{"eA"EmUQF &; q8|y<>&Bad 62 3099-5574 R. Quintino Bocaiva, 359, Centro - Anpolis/GO . 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. a dilation produces an image similar to the original figure, Question 10. The center of dilation is the origin. Communicate Mathematical Ideas Triangle ABC has coordinates A(1, 5), B(-2, 1), and C(-2, 4). Page 337: Study Guide Review: Module 10. For scale factor k, the algebraic representation of the dilation is (x, y) (kx, ky). 20.2 Algebraic Representations of Dilations. x + 1 I Can identify and perform dilations given a scale factor and center of dilation, perform a dilation on a coordinate plane, and identify an algebraic rule for the dilation. Emathinstruction Algebra 1 Unit 10 Answer Key. Answer: So, the corresponding S are congruent. Blueprint dimensions: 6.25 in. A square on the coordinate plane has vertices at (3, 3), (3, 3), (3, 3), and (3, 3). _____________, Explanation: Question 6. c. a reflection across the y-axis (x, y) (x, 2y) A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? b. -a + 7 = 2a 8 _____________, Question 9. Scale factor: 2 What will the dimensions of the new room be, in feet, in the new house? _____________, Answer: Triangle XYZ has angles measuring 54 and 29. 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. (-1, 1) Triangle RST has angles measuring 38 and 75. Critical Thinking Explain how you can find the center of dilation of a triangle and its dilation. Type below: Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Write two algebraic representations, one for the dilation to the green square and one for the dilation to the purple square. Answer: (2x, 2y) 5. ________ inches _____________, Answer: Picture below shows the image of the figure before and after dilation. (-7, -4) c. y = $\frac{2}{3}$x 2 A dilation of (x, y) (kx, ky) when 0 < k < 1 has what effect on the figure? The ratio of the lengths of the corresponding sides of triangle ABC and triangle ABC equals 2. Algebraic Representations of Dilations Success for English Learners A dilation changes the size of a figure without changing its shape. If the scale factor k is between 0 and 1 the image is a reduction. 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 d. A rectangular room has coordinates Q(2, 2), 6(7, 2), S(7, 5), and T(2, 5) on the blueprint. What is the scale factor for the dilation? _____________, Question 9. Highlight key terms and topics. 10.2 Independent Practice - Algebraic Representations of Dilations - Page No. During the video lesson have students: Take notes on the material. Scale factor: ________, Question 9. 21.1 Parallel Lines Cut by a Transversal. Critical Thinking MNOP has vertices at M(3, 4), N(6, 4), O(6, 7), and P(3, 7). Perform a dilation on the coordinate plane. The students can easily learn maths with the Go Math Grade 8 Solution Key. So, the scale factor is $\frac{1}{20}$, and algebric rule of dilation is (x, y) ($\frac{1}{20}$x, $\frac{1}{20}$y) In feet 6.25 4 = 25ft and 3.75 4 = 15 ft, Question 10. d. What are the perimeter and area of the image? 130 0 obj <>stream How does the dilation affect angle measures? The figure and its final image are congruent. Area = ________ square units, Answer: To create the actual sign shown, the drawing must be dilated using a scale factor of 40. (x, y) -> (x+6, y-3) (4, 0) lesson 10 2 algebraic representations of dilationsmercedes financial services phone numbermercedes financial services phone number _____________, Answer: Page 335: Study Guide Review: Module 9. k = $\frac{M^{\prime} N^{\prime}}{M N}$ Since the center of dilation is (0, 0), you can simply divide all . (-7, -8) (-6, -1) What are the coordinates? . (0, 4) Rotate the drawing 180 around the origin. Type below: Answer: d. a = 15, Explanation: ratio of x-coordinates = ____________

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