Question

casey builds the gate shown to the right, with two solid triangular panels. each support post runs 10 cm above and below the gate. are the solid panels congruent? explain. the solid triangular panels be shown to be congruent by

Explanation:

Step1: Identify angle - side - angle (ASA) criteria

We have two right - angled triangles. The height of the gate gives the vertical side length for both triangles (2.3 m). The angles at the bottom of both triangles are equal (34°), and the right - angles (90°) are also equal. The common side (the horizontal part of the gate between the two triangles) is shared.

Step2: Apply congruence rule

By the Angle - Side - Angle (ASA) congruence criterion, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.

Answer:

The solid triangular panels can be shown to be congruent by the ASA (Angle - Side - Angle) congruence criterion.