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

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

Options:

Correct Answer: All of the above

Solution:

By SAS, the two sides and the included angle are equal, so all corresponding parts are equal.

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

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

Step 1: Understand that 'congruent' means the two triangles are the same shape and size.
Step 2: Know that SAS stands for 'Side-Angle-Side'. This means we are comparing two sides and the angle between them.
Step 3: Identify the two sides of triangle JKL that are equal to the two sides of triangle MNO.
Step 4: Identify the angle between those two sides in triangle JKL that is equal to the angle between the two sides in triangle MNO.
Step 5: Conclude that because triangle JKL is congruent to triangle MNO by SAS, all corresponding parts (sides and angles) of both triangles are equal.

Congruence of Triangles – Triangles are congruent if they have the same shape and size, which can be established using criteria like SAS (Side-Angle-Side).
SAS Criterion – The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.