If triangle JKL is congruent to triangle MNO by the ASA criterion, which of the

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Question: If triangle JKL is congruent to triangle MNO by the ASA criterion, which of the following is true?

Options:

Correct Answer: All of the above

Solution:

By the ASA criterion, if two triangles have two angles and the included side equal, then all corresponding angles and sides are equal.

If triangle JKL is congruent to triangle MNO by the ASA criterion, which of the following is true?

If triangle JKL is congruent to triangle MNO by the ASA criterion, which of the following is true?

Step 1: Understand what congruent triangles are. Congruent triangles are triangles that are exactly the same in size and shape.
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 the corresponding two angles and the side in another triangle, then 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 two angles in triangle JKL are equal to two angles in triangle MNO, and the side between those angles is also equal.
Step 5: Conclude that all corresponding angles and sides of triangle JKL and triangle MNO are equal because of the ASA criterion.

ASA Criterion – The Angle-Side-Angle (ASA) 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 – Understanding that congruent triangles have equal corresponding sides and angles.