Question

What is the name of a polygon that has four congruent sides and these angle
measures: 80°, 100°, 80°, 100°?
A. Hexagon
B. Trapezoid
C. Rhombus
D. Square

Answer 1

Rhombus
Because rhombus is a parallelogram making opposite angles equal and it is a Quadrilateral and it’s sum of angles is 360

Answer 2

The polygon is rhombus

What is Polygon?

In geometry, the definition of a polygon is given as a closed two-dimensional figure with three or more straight lines. The Greek word "Polygon" consists of Poly meaning "many" and gon meaning "angle". We see many different polygons around us. For example, the shape of a honeycomb is a hexagon. Each polygon is different in structure, they are categorized based on the number of sides and their properties. Thus, all polygons are closed plane shapes.

Identification and Naming of Polygons

• It is a closed shape, that is, there is no end that is left open in the shape. It ends and begins at the same point.
• It is a plane shape, that is, the shape is made of line segments or straight lines.
• It is a two-dimensional figure, that is, it has only two dimensions length and width. There is no depth or height to it.
• The shape must have three or more sides.
• The angles in the polygon may or may not be the same.
• The length of the sides of a polygon may or may not be the same.

Given:

angle measures: 80°, 100°, 80°, 100°

As, the sum of angles is 360

= 80+ 80 +100 +100

= 160 +200= 360

Also, pair opposite angles are equal.

Hence, the given polygon is rhombus.

Learn more about polygon here:

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