Question

question 4 of 10
is \\( \triangle a b c \sim \triangle x y z \\) ? if so, identify the similarity postulate or theorem that applies.
a. similar - sss
b. similar - aa
c. similar - sas
d. cannot be determined

Explanation:

Step1: Check the angles

In \(\triangle ABC\) and \(\triangle XYZ\), \(\angle B = 30^{\circ}\), \(\angle Y=30^{\circ}\), \(\angle C = 95^{\circ}\), \(\angle Z = 95^{\circ}\).

Step2: Apply AA similarity

Since two pairs of corresponding angles (\(\angle B\) and \(\angle Y\), \(\angle C\) and \(\angle Z\)) are equal. By the AA (Angle - Angle) similarity postulate, if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Answer:

B. Similar - AA