Geometry Quadrilaterals & Polygons

Question 1

What is a quadrilateral?

Accepted Answer

A polygon with four sides

Answer

A quadrilateral is a fundamental type of polygon, specifically defined as a closed two-dimensional shape with exactly four straight sides and four vertices. Examples include squares, rectangles, rhombuses, and trapezoids. The term 'quad' means four, directly indicating its number of sides.

Question 2

Which of the following is a type of quadrilateral?

Accepted Answer

Rectangle

Answer

A rectangle is a specific type of quadrilateral, meaning it is a polygon with four sides. It is characterized by having four right angles (90 degrees) and opposite sides that are equal in length and parallel. Other quadrilaterals include squares, rhombuses, and trapezoids.

Question 3

What is a polygon?

Accepted Answer

A closed figure with straight line segments

Answer

A polygon is a closed two-dimensional shape made up entirely of straight line segments. These segments, called sides, connect at points called vertices, and each side intersects exactly two other sides. This definition excludes shapes with curves or open figures.

Question 4

How many sides does a hexagon have?

Accepted Answer

Six

Answer

The prefix 'hexa-' in hexagon directly indicates the number six. Therefore, a hexagon is a polygon that is defined by having exactly six straight sides and six interior angles. Examples include regular hexagons, where all sides and angles are equal, and irregular hexagons.

Question 5

Which quadrilateral has all sides equal and all angles equal?

Accepted Answer

Square

Answer

A square is a special type of quadrilateral that possesses two key properties: all four of its sides are equal in length, and all four of its interior angles are right angles (90 degrees). This makes it both a rhombus (all sides equal) and a rectangle (all angles 90 degrees).

Geometry Practice Test

Geometry Practice Test

Geometry Quadrilaterals & Polygons