Back to Prove theorems about parallelograms — Problem 5 · Task Set 11

Exercises: Prove Theorems About Parallelograms

Work through each section in order. Show all proof steps and justifications where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-c-11

Work through problems with immediate feedback

Fluency Practice

In quadrilateral $WXYZ$ , the diagonals $\overline{WY}$ and $\overline{XZ}$ intersect at point $M$ , with $WM = MY = 6$ and $XM = MZ = 4$ . Which conclusion is justified?

$WXYZ$ is a parallelogram because its diagonals bisect each other.

$WXYZ$ is a parallelogram because $WY = XZ$ .

$WXYZ$ is a parallelogram because one pair of opposite sides is congruent.

$WXYZ$ is a rectangle because the diagonals have different lengths.