If triangle JKL is congruent to triangle MNO by the ASA criterion, what can be c

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Question: If triangle JKL is congruent to triangle MNO by the ASA criterion, what can be concluded about their sides?

Options:

Correct Answer: They are equal

Solution:

If two triangles are congruent by ASA (Angle-Side-Angle), then their corresponding sides are equal.

If triangle JKL is congruent to triangle MNO by the ASA criterion, what can be concluded about their sides?

If triangle JKL is congruent to triangle MNO by the ASA criterion, what can be concluded about their sides?

Step 1: Understand what congruent triangles are. Congruent triangles are triangles that are exactly the same in shape and size.
Step 2: Learn about the ASA criterion. ASA stands for Angle-Side-Angle, which means if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, the triangles are congruent.
Step 3: Identify the triangles in the question. We have triangle JKL and triangle MNO.
Step 4: Since triangle JKL is congruent to triangle MNO by the ASA criterion, it means that their corresponding angles are equal.
Step 5: Because the triangles are congruent, their corresponding sides must also be equal.
Step 6: Conclude that the sides of triangle JKL are equal to the sides of triangle MNO.

ASA Criterion – The ASA (Angle-Side-Angle) criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.
Triangle Congruence – Congruent triangles have equal corresponding sides and angles.