Consider . If the midpoints of the sides are joined in order, the resulting quadrilateral must be a:
A) parallelogram
B) rectangle
C) kite
D) trapezoid

Question

Consider  . If the midpoints of the sides are joined in order, the resulting quadrilateral must be a:
A) parallelogram 
B) rectangle 
C) kite 
D) trapezoid

Quizplus · Accepted Answer

To determine the shape of the resulting quadrilateral, we need to draw the given figure and label the midpoints.

![quadrilateral image](https://i.imgur.com/p39jK4g.png)

Now we can join the midpoints in order to form the quadrilateral.

![resulting quadrilateral image](https://i.imgur.com/RZQxCti.png)

We can see that opposite sides are parallel (CD and AB, AD and BC) and congruent (CD = AB, AD = BC), which satisfies the definition of a parallelogram. Therefore the answer is A) parallelogram.