1. What is the scale factor of the dilation pictured below?

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Presentation transcript:

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

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

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

3

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?

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?

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

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

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.

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.

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.

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.

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.

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.

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.

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.

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?

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