Question

what similarity property, if any, can be used to show that the following two triangles are similar.

image of two right triangles, triangle lkm with right angle at k and triangle onp with right angle at n, and angle at m and angle at p marked equal

options:

• sss
• sas
• not enough information given
• aa

Explanation:

Step1: Identify right angles

Both triangles have a right angle ($\angle K = \angle N = 90^\circ$).

Step2: Check equal acute angles

The acute angles $\angle M$ and $\angle P$ are marked equal.

Step3: Apply AA similarity

Two pairs of corresponding angles are equal, so AA similarity applies.

Answer:

AA