Examine this figure. Which two pieces of information, if true, would help to prove that triangle LMP is congruent to triangle NMP by HL? Choose two correct answers.
Answer
A
line segment PK is congruent to line segment PK
B
Line MK is the perpendicular bisector of line segment LN .
C
line segment ML is congruent to line segment MN
D
Point cap p is the midpoint of line segment MK .
E
line segment ML is congruent to line segment MP
Explanation
The figure shows right triangles LMP and NMP sharing leg MP. To use HL, their hypotenuses ML and MN must also be congruent. Choice A would make M lie on the perpendicular bisector of LN, so ML = MN; choice E states that same hypotenuse congruence directly.
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