What distinguishes a polygon from a simple closed curve?

A polygon is specifically made up of line segments only, while a simple closed curve can be any shape that connects points without lifting the pencil.

Fill in the blank: A regular polygon has ___ sides and ___ angles that are equal.

Equal; equal

True or False: A rectangle is considered a regular polygon.

False; A rectangle is not a regular polygon because its sides are not all of equal length.

What is the sum of the measures of the exterior angles of any polygon?

The sum of the measures of the exterior angles of any polygon is always 360 degrees.

Riddle: I am a four-sided figure with one pair of parallel sides. What am I?

A trapezium.

Define adjacent sides in the context of polygons.

Adjacent sides are two sides of a polygon that share a common vertex.

Fill in the blank: A concave polygon is one where a line segment connecting two points ____ lie completely inside the polygon.

Does not

What are the key properties of a parallelogram?

In a parallelogram, opposite sides are equal, opposite angles are equal, adjacent angles are supplementary, and diagonals bisect each other.

Short Answer: How is a rhombus defined in relation to a parallelogram?

A rhombus is a special type of parallelogram where all sides are of equal length.

Riddle: I have four equal sides and angles of 90 degrees. What am I?

A square.