Question

determine the relationship between the two triangles and whether or not they can be proven to be congru
answer attempt 1 out of 2
the two triangles are related by , so the triangles
submit answer

Explanation:

Step1: Identify given triangle parts

Both are right triangles ($90^\circ$ angles). For first triangle: 1 single-mark leg, 1 double-mark leg, right angle. For second triangle: 1 single-mark leg, 1 double-mark leg, right angle.

Step2: Match congruence criterion

The right angle is the included angle between the two legs. This matches the SAS (Side-Angle-Side) congruence rule, where two sides and the included angle of one triangle equal those of the other.

Step3: Identify transformation

The second triangle is a rotation (180° rotation) of the first triangle, which is a rigid transformation that preserves congruence.

Answer:

The two triangles are related by rotation (a rigid transformation), so the triangles can be proven congruent by the SAS congruence postulate.