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Parallel Lines cut by a Transversal

Difficulty Level: At Grade Created by: CK-12

This activity is intended to supplement Geometry, Chapter 3, Lesson 2.

ID: 8681

Time required: 30 minutes

Topic: Points, Lines & Planes

  • Construct two parallel lines and an intersecting transversal and measure the angles to discover that pairs of alternate angles (interior and exterior) are equal and same side angles (interior and exterior) are supplementary.

Activity Overview

In this activity, students will develop and strengthen their knowledge about the angles formed when parallel lines are cut by a transversal. The measurement tool helps them discover the relationships between and among the various angles in the figure. Students will draw parallel lines, draw a transversal, and explore angle relationships.

Teacher Preparation

  • This activity is designed to be used in a high-school geometry classroom. It can also be used with advanced middle school students.
  • Students should already be familiar with parallel lines as well as reading and naming angles.
  • The screenshots on pages 1–3 demonstrate expected student results.

Classroom Management

Associated Materials

See the student worksheet on how to complete this activity.

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