Q:
# What is a polygon with all of its sides and angles congruent?

**An angle with all of its sides and angles congruent is a regular polygon.** The term "congruent" means exactly equal in shape or size, while a polygon is defined as a closed figure made up of sides that are line segments.

Credit:
wandering_angel
CC-BY 2.0

Every square, by definition, has four sides of equal length and four right angles measuring 90 degrees each. Because the sides and angles are congruent, a square also classifies as a regular polygon.

An equilateral triangle is considered a regular polygon because it has three congruent sides and three angles measuring 60 degrees each. The right triangle is not a regular polygon because it has one 90-degree angle and two smaller angles that add up to 90 degrees. In an isosceles right triangle, these two smaller angles both measure 45 degrees each. In a 30-60-90 triangle, one of the smaller angles measures 30 degrees and the other measures 60 degrees.

Learn more about Shapes-
Q:
## What is the name of a 1,000-sided polygon?

A: The polygon with 1,000 sides, 1,000 vertices and 1,000 angles is called a chiliagon or a 1,000-gon. The term "chiliagon," with a Greek-derived prefix meani... Full Answer >Filed Under: -
Q:
## What are some names of irregular shapes?

A: Unlike a regular shape, an irregular shape is a polygon with sides that aren't all equal and unequal angles. Some conventional geometric shapes, such as th... Full Answer >Filed Under: -
Q:
## How many degrees are in a polygon?

A: The degrees of a polygon, or the sum of its angles, depends on the number of sides the polygon has. The sum of the degrees of the angles of a polygon equal... Full Answer >Filed Under: -
Q:
## How many sides does a heptagon have?

A: A heptagon is defined as polygon with seven angles and seven sides. The heptagon is sometimes referred to as the septagon, using the Latin numerical prefix... Full Answer >Filed Under: