Question

can you conclude that these triangles are congruent?
yes
no

Explanation:

Step1: Identify common side and given info

Triangles \( \triangle FJH \) and \( \triangle FGH \) share side \( FH \). We have \( FJ = FG \) (marked congruent), \( \angle J=\angle G \) (marked congruent), and \( FH \) is common.

Step2: Apply SAS congruence criterion

By the Side - Angle - Side (SAS) congruence postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. Here, \( FJ = FG \), \( \angle J=\angle G \), and \( FH = FH \) (common side), so \( \triangle FJH\cong\triangle FGH \) by SAS.

Answer:

yes