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klio [65]
2 years ago
11

Are Triangles similar?

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

Given:

A figure of triangles.

To find:

Whether the triangles SPT and triangle QPR are similar.

Solution:

In triangle SPT and triangle QPR,

\angle PST\cong \angle PQR           (Given)

\angle SPT\cong \angle QPR           (Common angle)

In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.

\angle SPT\sim \angle QPR

Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.

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