Unit 2, Lesson 6
Connecting Similarity and Transformations
Integrated Math 2
6.1
Warm-up
Dilation Miscalculation
How do you know that
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How do you know that
Are the triangles similar?
Write a sequence of transformations (dilation, translation, rotation, reflection) to take one triangle to the other.
One figure is similar to another if there is a sequence of rigid motions and dilations that takes the first figure so that it fits exactly over the second. For example, triangle
What is a rotation and a dilation that will take
The triangles are similar because a
Because both rigid motions and dilations leave corresponding angles congruent, all pairs of corresponding angles in similar figures are congruent. In this example, angle
Because rigid motions keep lengths congruent and dilations scale them at the same proportion, all pairs of corresponding sides in similar figures are in the same proportion. In this example,
One figure is similar to another if there is a sequence of rigid motions and dilations that takes the first figure onto the second.
Triangle
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