10
QuizMultiple Choice

Triangle Congruence — Test

Question 10 • Geometry

In the diagram, angle cap j is congruent to angle cap m and line segment JL is congruent to line segment MR What additional information is needed to show triangle JKL is congruent to triangle MNR by SAS?

Answer
A
angle liters is congruent to angle cap r
B
line segment KL is congruent to line segment NR
C
angle cap k is congruent to angle cap n
D
line segment JK is congruent to line segment MN

Explanation

For SAS, the two triangles need two pairs of corresponding sides and the angle between those sides. The given angle J matches angle M, and side JL matches side MR. The other side next to those angles must therefore match: JK must be congruent to MN, which is choice D.

AI-written and checked against the verified answer.

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