21
QuizMultiple Choice

Triangle Congruence: SAS — Quiz

Question 21 • Geometry

In the diagram, line segment KL is congruent to line segment NR 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 cap j is congruent to angle cap m
B
angle cap r is congruent to angle cap k
C
angle cap k is congruent to angle cap n
D
angle liters is congruent to angle cap r

Explanation

For SAS, the congruent angle must be between the two congruent sides in each triangle. In triangle JKL, sides JL and KL meet at L; in triangle MNR, sides MR and NR meet at R. Therefore, the needed information is that angle L is congruent to angle R.

AI-written and checked against the verified answer.

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