Question

Classify the object in real life by what type of polygon it is. State if it is concave or convex, and explain why. Also write the sum of the interior angles. If the polygon is regular what would the measure of the interior and exterior angles be? a. Stop sign b. Tripod c. Computer screen d. School crossing sign e. The dome of a capitol building f. A cell in a honeycomb g. Describe the difference between a concave and convex polygon. h. What is a regular polygon? i. How do you calculate the sum of the interior angles?

Answer 1

see below for classification

concave: angles less than 180°

regular: sides and angles congruent

sum = 180°(n -2)

Explanation:

A) The given shapes are classified and described in the attachment. (A polygon is a plane figure, so a "tripod" and a "dome" are not polygons.)

__

B) A convex polygon has interior angles that measure less than 180°. A concave polygon has one or more reflex angles.

__

C) A regular polygon has all angle measures congruent, and all side lengths congruent.

__

D) The sum of interior angles can be calculated from the formula ...

angle sum = 180° · (n -2) . . . . where n is the number of sides