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32 votes
32 votes
Can someone please explain this.

Can someone please explain this.-example-1
User Subha Chandra
by
3.1k points

2 Answers

8 votes
8 votes

Answer:

segment KL

Explanation:

There is a theorem in geometry that deals with problem's question.

Theorem:

In a triangle, a segment whose endpoints are midpoints of two sides is parallel to and half the length of the third side.

In this triangle, you are shown that each side is made up of two congruent segments. That makes points J, L, and K midpoints of the three sides of the triangle.

Look at midpoints L and K. They are midpoints of sides YZ and XZ. Join them with segment KL. That segment is parallel to the third side of the triangle, side XY, and half of its length.

Answer: segment KL

User Gremash
by
3.1k points
10 votes
10 votes

Answer:

  • XY ║ KL

Explanation:

As per details in the diagram, the points K, L and J are midpoints of sides.

KL, KJ and KJ are midsegments.

According to definition of midsegment, XY and KL are parallel.

User Deryck
by
3.2k points
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