Question

The triangles $\Delta ABC$ and $\Delta PQC$ are similar by which similarity criteria?

• A. 11 m
• B. 31 m
• C. 15 m
• D. 9 m

Answer 1

Answer: (A), (B)

The correct options are
A

11 m

B

31 m

In $\Delta ABC$ and $\Delta PQC$,
$\angle ABC=\angle PQC=\left({90}^{\circ }\right)$
$\angle C=\angle C\text{(common angle)}$

AA or AAA similarity postulate states that if two triangles have atleast two pairs of corresponding angles are equal, the triangles are similar.
Therefore, $\Delta ABC\sim \Delta PQC$ (by AA similarity)