Question

which property of similarity can be used to prove triangles lkj and zyx are similar?
sss
aa
not enough information
sas

Explanation:

Step1: Recall similarity criteria

• SSS (Side - Side - Side) similarity: If the ratios of the corresponding sides of two triangles are equal, the triangles are similar.
• AA (Angle - Angle) similarity: If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
• SAS (Side - Angle - Side) similarity: If the ratio of two pairs of corresponding sides is equal and the included angles are equal, the triangles are similar.

Step2: Analyze the given triangles

• In triangles \(LKJ\) and \(ZYX\), we are given two pairs of equal angles (\(\angle K=\angle Y\) and \(\angle J=\angle X\)).

Answer:

AA