Question

Which similarity postulate or theorem can be used to verify that the twotriangles shown below are similar?124P6RX 2 ZA. SSS theoremB. Similarity cannot be determined.C. AA postulateD. SAS theorem

Answer 1

We will apply the method of similar triangles to solve below and verify the theorem used,

$\frac{QP}{YX}=\frac{PR}{XZ}$$\begin{gathered} \frac{12}{4}=\frac{6}{2} \\ 3=3 \end{gathered}$

The theorem that can be used to verify that the two triangles are similar is SAS theorem.

The two triangles are right angled triangle.

Option D is the correct answer.