Answer:
Step-by-step explanation:
1). JL = 36
Reason : Since, PN is the segment joining midpoints of sides JK and LK,
Therefore, JL = 2(PN)
JL = 2(36)
JL = 72
False.
2). ML = 36
Reason: Since, ML = [tex]\frac{1}{2}(JL)[/tex]
ML = [tex]\frac{1}{2}(72)[/tex]
= 36
True.
3). MP = 48.5
Reason : By the same property, MP = [tex]\frac{1}{2}(LK)[/tex]
MP = [tex]\frac{97}{2}[/tex]
MP = 48.5
True.
4). ∠JLK = 102°
Reason: Segment joining midpoints of two sides of a triangle is parallel and measures half of the third side of the triangle.
Since, PM║LK and JL is a transversal line,
∠JMP ≅ ∠JLK [Corresponding angles]
m∠JLK = 102°
True.
5). ∠PNK = 102°
Reason : Since, PN║JL and LK is a transversal line,
∠JLK ≅ ∠PNK [Corresponding angles]
∠PNK = 102°
True.
6). MP║PK
Reason : MP and PK are intersecting each other at P.
Therefore, they can not be parallel.
False.
