Question

are these triangles similar? yes no

Explanation:

Step1: Recall similarity criterion

Two triangles are similar if their corresponding angles are equal.

Step2: Identify corresponding angles

In \(\triangle FGH\) and \(\triangle IJK\), \(\angle H = 98^{\circ}\), \(\angle I=98^{\circ}\), \(\angle G = 32^{\circ}\), \(\angle J = 32^{\circ}\).

Step3: Calculate third - angle

For \(\triangle FGH\), \(\angle F=180^{\circ}-(98^{\circ} + 32^{\circ})=50^{\circ}\). For \(\triangle IJK\), \(\angle K=180^{\circ}-(98^{\circ}+32^{\circ}) = 50^{\circ}\). All corresponding angles are equal.

Answer:

Yes