Question

1. select all of the parallelograms. for each figure that is not selected, explain how you know it is not a parallelogram.

Explanation:

Step1: Recall parallelogram definition

A parallelogram has two pairs of parallel sides.

Step2: Analyze figure A

The top and bottom sides are not parallel, so it is not a parallelogram.

Step3: Analyze figure B

It has two pairs of parallel sides, so it is a parallelogram.

Step4: Analyze figure C

It has two pairs of parallel sides (a rectangle is a special - type parallelogram), so it is a parallelogram.

Step5: Analyze figure D

It has two pairs of parallel sides, so it is a parallelogram.

Step6: Analyze figure E

It is a triangle, not a quadrilateral, so it is not a parallelogram.

Answer:

B. It is a parallelogram as it has two pairs of parallel sides.
C. It is a parallelogram (a rectangle, which is a special - type parallelogram with two pairs of parallel sides).
D. It is a parallelogram with two pairs of parallel sides.
A is not a parallelogram because the top and bottom sides are not parallel.
E is not a parallelogram because it is a triangle and not a quadrilateral.