Question

is △fgh ~ △jkl? if so, identify the similarity postulate or theorem that applies.
f 30° 55° h
g 10
j 30° 55° l
k 6
a. similar - sss
b. cannot be determined
c. similar - sas
d. similar - aa

Explanation:

Step1: Recall similarity postulates

The AA (Angle - Angle) similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.

Step2: Identify congruent angles

In \(\triangle FGH\) and \(\triangle JKL\), \(\angle F = 30^{\circ}\) and \(\angle J=30^{\circ}\), \(\angle H = 55^{\circ}\) and \(\angle L = 55^{\circ}\). Two pairs of angles are congruent.

Answer:

D. Similar - AA