Question

1. look at the theater on first ave, between alder and birch. if the corners of the theater are all right angles, is the theater a parallelogram? why or why not? (2 points)
2. look at the school on second ave, between dogwood and elm.

a) is the school a quadrilateral? why or why not? (1 point)

Explanation:

Step1: Recall parallelogram properties

A parallelogram has opposite - sides parallel. A rectangle (a special parallelogram) has all right - angles.

Step2: Analyze the theater

Since the corners of the theater are all right - angles, the opposite sides are parallel. So it is a parallelogram (a rectangle is a type of parallelogram).

Step3: Recall quadrilateral definition

A quadrilateral is a four - sided polygon.

Step4: Analyze the school

The school is a four - sided figure, so it is a quadrilateral.

Answer:

1. Yes, the theater is a parallelogram because it has all right angles, and a rectangle (a shape with all right angles) is a type of parallelogram where opposite sides are parallel.
2. a) Yes, the school is a quadrilateral because it is a four - sided polygon.