-In Quadrilateral ABCD, the Midpoints of the Sides Are Joined

Question

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The Answer is The line segements that join midpoints of 2 sides of a triangle are parallel to the third side of the triangle. For this reason,

The line segements that join midpoints of 2 sides of a triangle are parallel to the third side of the triangle. For this reason, in and in ; thus, it follows that . Similarly, in and in ; thus, . By definition, it follows that MNPQ is a parallelogram.

in

and

in

; thus, it follows
that The line segements that join midpoints of 2 sides of a triangle are parallel to the third side of the triangle. For this reason, in and in ; thus, it follows that . Similarly, in and in ; thus, . By definition, it follows that MNPQ is a parallelogram.

. Similarly, The line segements that join midpoints of 2 sides of a triangle are parallel to the third side of the triangle. For this reason, in and in ; thus, it follows that . Similarly, in and in ; thus, . By definition, it follows that MNPQ is a parallelogram.

in

and

in

; thus,

.
By definition, it follows that MNPQ is a parallelogram.

-In Quadrilateral ABCD, the Midpoints of the Sides Are Joined

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