Question

1. apply will the folded flag fit in the shadow box shown? explain. flag shadow box envision® florida b.e.s.t. geometry • teaching resources

Explanation:

Step1: Use the SAS (Side - Angle - Side) congruence criterion

The folded flag and the shadow box have two sides equal ($13$ in and $24$ in) and the included angle equal ($42^{\circ}$).
By the SAS congruence criterion, if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.
Since the folded flag (triangle) and the shadow box (triangle) are congruent, their corresponding sides and angles are equal.

Answer:

Yes, the folded flag will fit in the shadow box. Because the two triangles (the folded flag and the shadow - box space) are congruent by the SAS (Side - Angle - Side) congruence criterion.