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10. the triangles are similar. write a similarity statement for the tri…

Question

  1. the triangles are similar. write a similarity statement for the triangles.

△wz - △zxy
△wz - △yxz
△wz - △xyz
△wz - △zyx

Explanation:

Step1: Identify corresponding angles

When two triangles are similar, the order of the vertices in the similarity statement should match the corresponding angles. By observing the figure, we can see that the angles at \(W\) and \(Y\) are corresponding, the angles at \(V\) and \(X\) are corresponding, and the angles at \(Z\) are common to both triangles.

Step2: Write similarity statement

The correct similarity statement should have the vertices in the order of corresponding - angle match. So, \(\triangle WVZ\sim\triangle YXZ\).

Answer:

\(\triangle WVZ\sim\triangle YXZ\)