# Geometry: Polygons

### Contents

#### Problems

Problem : Classify the quadrilateral below as a parallelogram, trapezoid, or neither.

Parallelogram

Problem : Classify the quadrilateral below as a parallelogram, trapezoid, or neither.

Trapezoid

Problem : Classify the quadrilateral below as a parallelogram, trapezoid, or neither.

Parallelogram

Problem : If the bases of a trapezoid have the same line as their perpendicular bisector, what is the relationship between the legs of that trapezoid?

The legs are congruent

Problem : Angle ABC in Parallelogram ABCD has a measure of 40 degrees. What are the measures of the other three angles?

Angle BCD is 140 degrees. Angle CDA is 40 degrees. Angle DAB is 140 degrees.

Problem : If a segment is drawn from the midpoint of one side of a parallelogram to the midpoint of the opposite side of the parallelogram, how long is that segment?

The segment is equal to the lengths of the other pair of sides--the sides with which it doesn't intersect.