Geometry Pre Test & Study Guide

Questions and Answers

What is the definition of a polygon?

A three-dimensional shape with flat surfaces.

A closed figure with three or more straight sides. (correct)

An open figure with four or more sides.

A figure with curved lines and angles.

Which statement accurately defines a regular polygon?

A polygon that has both curved and straight sides.

A polygon with unequal sides and angles.

A polygon where all sides and angles are equal. (correct)

A polygon with at least one angle greater than 90 degrees.

What is an example of an irregular polygon?

A hexagon where each side is identical.

A square with all right angles.

A triangle with all sides equal.

A pentagon with differing side lengths. (correct)

How many sides does a hexagon have?

Six Signup and view all the answers

If a square is a type of quadrilateral, which statement is true?

All squares are quadrilaterals. Signup and view all the answers

How can a trapezoid be defined in relation to its sides?

It has exactly one pair of parallel sides. Signup and view all the answers

What type of angle measures exactly 90 degrees?

Right angle Signup and view all the answers

Which of the following statements is true regarding rectangles?

All rectangles are parallelograms. Signup and view all the answers

Study Notes

Polygon Definitions

A polygon is a closed, two-dimensional shape made up of straight line segments.
Regular polygons have sides of equal length and angles of equal measure; examples include equilateral triangles and squares.
Irregular polygons have sides and angles that are not all the same; examples include scalene triangles and random quadrilaterals.

Plotting Polygons

When given coordinate points, plot each point on a graph and connect them in the specified order to form a figure.
Complete the figure by joining the starting and ending points to identify it as a polygon.

Hierarchy of Polygons

Begin with a 3-sided polygon (triangle) and progress through to a 10-sided polygon (decagon).
Ensure that each polygon is drawn accurately, counting vertices to match the polygon's name.

Angle Naming

Angles can be named in four different ways based on their vertices and sides.
The vertex of an angle is the point where the two sides meet, and each side can be identified by naming the endpoints.

Angle Classification

Angles can be classified as:
- Acute: Less than 90 degrees
- Right: Exactly 90 degrees
- Obtuse: Between 90 and 180 degrees
- Reflex: Greater than 180 degrees
Measure angles accurately using a protractor to determine their classification.

Quadrilaterals Hierarchy

Create a hierarchy to show relationships among quadrilaterals:
- Squares are a type of rhombus.
- Rectangles do not have congruent sides; they have opposite sides that are equal.
- Not all quadrilaterals have right angles.
- Trapezoids have four sides, not more.
- Four-sided polygons with two sets of parallel sides include rectangles and parallelograms.

Description

This quiz covers fundamental concepts of polygons, including definitions and examples of regular and irregular polygons. Students will also plot points to identify polygons and complete a chart of polygons starting from a 3-sided figure. Prepare to enhance your geometry skills with this comprehensive guide!