1. 1. What is the scale factor of the dilation pictured below?
Bell Ringer (5 minutes)
1. What is the scale factor of the dilation pictured below?
2. If 𝑨𝑩 has a length of 16.4 units, what is the length of 𝑨 ′ 𝑩′ under a dilation with a scale factor of k = 2.5? 5

2. Similarity E.Q. How can we prove that two triangles are similar?2 1

3. Similar - two figures that are the same shape but not necessarily the same size Similarity Transformation - a dilation Ratio of Similitude - scale factor - a ratio of corresponding sides 2 1

4. 3

5. Page 41, Example 1: Use the definition of similarity in terms of similarity transformations to determine whether the two figures are similar. Explain your answer. Orientation? Scale factor? Transformation?

6. Page 42, Example 2: Use the definition of similarity in terms of similarity transformations to determine whether the two figures are similar. Explain your answer. Orientation? Scale factor? Transformation?

7. Page 47, #1: Find all the angle measures and side lengths for each triangle of the given similar pairs.

8. Page 47, #2: Find all the angle measures and side lengths for each triangle of the given similar pairs.

9. Page 48, #3: Determine if the two given triangles are similar
Page 48, #3: Determine if the two given triangles are similar. Explain your answer.

10. Page 48, #4: Determine if the two given triangles are similar
Page 48, #4: Determine if the two given triangles are similar. Explain your answer.

11. Page 49, #5: Determine if the two given triangles are similar
Page 49, #5: Determine if the two given triangles are similar. Explain your answer.

12. Page 49, #6: Determine if the two given triangles are similar
Page 49, #6: Determine if the two given triangles are similar. Explain your answer.

13. Page 50, #7: Determine if the two given triangles are similar
Page 50, #7: Determine if the two given triangles are similar. Explain your answer.

14. Page 50, #8: Determine if the two given triangles are similar
Page 50, #8: Determine if the two given triangles are similar. Explain your answer.

15. Page 51, #9: Determine if the two given triangles are similar
Page 51, #9: Determine if the two given triangles are similar. Explain your answer.

16. Page 51, #10: Determine if the two given triangles are similar
Page 51, #10: Determine if the two given triangles are similar. Explain your answer.

17. Page 45, Problem-Based Task 2. 2
Page 45, Problem-Based Task 2.2.1: Video Game Transformations The creators of a new video game are in the early design stages and are using the right triangle ABC on a coordinate plane to represent the movement of the character in the actual game setting. The coordinates of the points are A (–6, –9), B (–3, –9), and C (–3, –6). After a series of similarity transformations, the locations of the end points of the hypotenuse of the new image are ′ A(6, –4) and ′ C(4, –2). Is it possible to determine the location of point ′ B?

18. Angle-Angle (AA) Similarity Statement - If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.