7th Grade Geometry Study Guide

7th Grade Geometry Study Guide

Total Time: 55 minutes

Introduction to Geometry Concepts

Time: 5 minutes

This study guide will help you prepare for your geometry quiz. Let's recall what we have learned about angles, triangles, and circles! Answer the following questions to refresh your memory:

1. What are complementary angles?

2. How do you find the sum of the angles in a triangle?

Angle Relationships

Time: 10 minutes

Review the different types of angle relationships and complete the table below:

Reflection: Write down an example of each angle type from your notes.

Triangles

Time: 15 minutes

Complete the activities below to reinforce your understanding of triangles:

1. Given the following equations, determine the measure of the unknown angles: a) x + y + z = 180 (x = 60, y = ?) b) x + 90 + z = 180 (x = ?, z = 30)

2. Fill-in-the-blank: Given two sides of a triangle are 5 and 10, which of the following could be the range for the third side? A: ______ < c < ______.

Circles - Area and Circumference

Time: 10 minutes

1. Review the formulas:

   • Area = πr² (use 3.14 for π)

   • Circumference = 2πr

2. Find the area and circumference for a circle with a radius of 7 cm:

   • Area = ___________

   • Circumference = ___________

3. Solve the same for a circle with a radius of 14 cm:

   • Area = ___________

   • Circumference = ___________

Practice Problems

Time: 10 minutes

Answer the following problems to solidify concepts:

1. Given two angles where one angle is 30 degrees, find the measure of the other angle if they are complementary.

   • Answer: ______________

2. If a triangle has two angles measuring 45 degrees, what is the measure of the third angle?

   • Answer: ______________

3. You have a triangle with sides measuring 6 cm, 8 cm, and _______. Determine a possible range for the last side.

Reflection and Summary

Time: 5 minutes

In a few sentences, summarize what you have learned about geometry. What do you feel confident in? What topics do you want to review more before the quiz?