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verify experimentally with dilations in the coordinate plane. use the idea of dilation transformations to develop the definition of similarity. determine whether two figures are similar. use the properties of similarity transformations to develop the criteria for proving similar triangles.

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Thursday, QUIZ on transformations in the coordinate plane. Friday, we will start talking about dilations, the last type of transformation. Period 4 & 6: Quiz corrections were due to me today during homeroom on 5.1-5.3 Quiz.

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The dilation is (x, y) (4x, 4y). Multiply the coordinates of each vertex by 4. B(8, • 8, 4. 0) (32, 0) C(3, —2) • 3, 4. (12, —8) So, the coordinates after the dilation are A'(O, O), B'(32, O), and C'(12, —8). Example 1: 2. 3. Since the scale factor is 4, will the dilation result in an enlargement or a reduction? Explain.

Jan 19, 2016 · 8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. Standards Clarification: When you apply transformations to figures in the coordinate plane, you can describe the results of the transformation by giving the coordinates of the vertices of the figures. Upon completion of this lesson, students will: have been introduced to the concepts of translation, reflection, and rotation. have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.

verify experimentally with dilations in the coordinate plane. use the idea of dilation transformations to develop the definition of similarity. determine whether two figures are similar. use the properties of similarity transformations to develop the criteria for proving similar triangles.

Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math. Part 1: Transformations and the Coordinate Plane Students are expected to use coordinates to prove simple geometric theorems algebraically. Building on their work with the Pythagorean theorem in 8th grade to find distances, students use a rectangular coordinate system to verify geometric relationships, including properties of special triangles ...

Dilations in the coordinate plane, with the origin as the center of dilation, can be done by multiplying the coordinates by the scale factor. In general for a dilation, (x , y) → (k*x, k*y) Ex. Unit 3: Dilations and Similarity. Topic A: Dilations off the Coordinate Plane. 1. ... Dilations on the Coordinate Plane. 8. ... Define similarity transformation as the composition of basic rigid motions and dilations. Describe similarity transformation applied to an arbitrary figure. 11. G.C.A.1 Prove that all circles are similar. 12. G.SRT.A.3

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