3. Proving Triangles Similar
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Notice that there is a pair of vertical angles.
Are the Triangles Similar? Yes.
Similarity Statement: △ AEZ ~ △ REB
Explanation: See solution.
Let's review the theorems that can help us prove that two triangles are similar.
We are asked to determine whether the given triangles are similar.
Notice that there is a pair of vertical angles. These angles have equal measures. Since we are given that m ∠ REB is 35 ^(∘), we know that m ∠ AEZ= 35.
As we can see, two angles of one triangle are congruent to two angles of another triangle. Therefore, by the AA ~ Postulate the triangles are similar. △ AEZ ~ △ REB