Question

use the polygon to the right to complete parts a and b
(a) name the polygon. if the polygon is a quadrilateral, give its specific name
(b) state whether or not the polygon is a regular polygon
(c) what is the name of the polygon?
pentagon
dodecagon
octagon
trapezoid
(d) is the polygon regular or not regular?
regular
not regular

Explanation:

(a) Brief Explanations:

A polygon's name is based on its number of sides. A pentagon has 5 sides, dodecagon 12, octagon 8, and trapezoid (a quadrilateral) has 4 sides. The figure shown is a quadrilateral with one pair of parallel sides, which is a trapezoid. So the correct option is the one labeled "Trapezoid".

(a) Answer:

Trapezoid (the option with "Trapezoid" text)

(b) Brief Explanations:

A regular polygon has all sides and angles equal. A trapezoid has only one pair of parallel sides, and its sides and angles are not all equal. So it is not regular.

(b) Answer:

Not Regular (the option with "Not Regular" text)

Answer:

(a) Brief Explanations:

A polygon's name is based on its number of sides. A pentagon has 5 sides, dodecagon 12, octagon 8, and trapezoid (a quadrilateral) has 4 sides. The figure shown is a quadrilateral with one pair of parallel sides, which is a trapezoid. So the correct option is the one labeled "Trapezoid".

(a) Answer:

Trapezoid (the option with "Trapezoid" text)

(b) Brief Explanations:

A regular polygon has all sides and angles equal. A trapezoid has only one pair of parallel sides, and its sides and angles are not all equal. So it is not regular.

(b) Answer:

Not Regular (the option with "Not Regular" text)