Question

directions: determine whether each pair of triangles is similar. if they are, justify your reasoning. yes they are similar by aa similarity yes they are similar by sss similarity yes they are similar by sas similarity no, they are not similar

Explanation:

To determine if two triangles are similar, we use similarity criteria. The AA (Angle - Angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar. In triangle \(KML\) and triangle \(GHY\), \(\angle M=\angle G = 90^{\circ}\) (right angles). Also, \(\angle K\) and \(\angle H\) are given as equal. Since two pairs of corresponding angles are equal, the AA similarity criterion is satisfied.

SSS (Side - Side - Side) similarity requires the ratios of all three pairs of corresponding sides to be equal. SAS (Side - Angle - Side) similarity requires the ratio of two pairs of corresponding sides to be equal and the included angles to be equal. There is no information about the side lengths in the problem statement to use SSS or SAS.

Answer:

yes they are similar by AA similarity