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7. Are the two triangles similar? How do you know?​

7. Are the two triangles similar? How do you know?​-example-1

2 Answers

6 votes
The Triangles Are Similar Because The Smaller Triangle Is A Scaled Down Version Of The Larger Triangle.
User MichaelH
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Yes, the two triangles are similar based on the AA Similarity theorem.

Here's how we can tell:

Angle-Angle Similarity (AA Similarity): We can see that two pairs of corresponding angles are congruent. Specifically, both triangles have a 60° angle at the top and a 67° angle at the bottom. Since two pairs of corresponding angles are equal, the triangles are similar by the AA Similarity theorem.

User Chaokunyang
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4.9k points