Question

determine if the two triangles are necessarily congruent. if so, fill in a flowchart proof to prove that they are.

the triangles necessarily congruent.

answer attempt 1 out of

you must answer all questions above in order to submit.

Explanation:

Step1: Identify given congruent parts

In $\triangle YZA$ and $\triangle MLK$:

• $\angle Z \cong \angle L$ (marked angles)
• $ZA \cong KL$ (marked sides)
• $\angle A \cong \angle K$ (marked angles)

Step2: Match congruence criterion

The ASA (Angle-Side-Angle) congruence rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent. Here, the side is between the two congruent angles for both triangles.

Answer:

The triangles are necessarily congruent.

Flowchart proof steps (logical order):

1. $\angle Z \cong \angle L$ (Given, marked angles)
2. $ZA \cong KL$ (Given, marked sides)
3. $\angle A \cong \angle K$ (Given, marked angles)
4. $\triangle YZA \cong \triangle MLK$ (By ASA Congruence Criterion)