Question

A quadrilateral is drawn on a coordinate plane with vertices at W(-3,1) X(-1,5). Y(0, 3), and Z(-2,-1).

Answer 1

The actions that prove that the quadrilateral is a parallelogram are:

• Use the slope formula on each side of the quadrilateral and show that opposite sides have the same slope.
• Use the distance formula on each side of the quadrilateral and show that opposite sides have the same length.

Quadrilaterals

Quadrilaterals are polygons that have four sides and four corners

Parallelograms

Parallelograms are quadrilaterals that have parallel and congruent opposite sides

For the quadrilateral to be a parallelogram, then the opposite sides must be congruent.

This can be proved using the distance formula

Also, for the quadrilateral to be a parallelogram, then the opposite sides must be parallel.

This can be proved using the slope formula

Hence, the possible actions are (a) and (b)

Read more about quadrilaterals and parallelograms at:

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