65,727 views
21 votes
21 votes
7. Are the two triangles similar? How do you know?​

7. Are the two triangles similar? How do you know?​-example-1
User Catalin Hritcu
by
2.5k points

2 Answers

24 votes
24 votes
The Triangles Are Similar Because The Smaller Triangle Is A Scaled Down Version Of The Larger Triangle.
User Mo Sander
by
3.0k points
16 votes
16 votes

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 Gabriela
by
2.5k points