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4.2: Transversals

Difficulty Level: At Grade Created by: CK-12
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This activity is intended to supplement Geometry, Chapter 3, Lesson 3.

Problem 1 - Properties of Transversals

Use the below on the right to answer the following questions.

1. 3 and 6 is a pair of alternate interior angles

and is another pair

2. 3 and 5 is a pair of same-side interior angles

and is another pair

3. 3 and 7 is a pair of corresponding angles

and is another pair

Run the Cabri Jr. App and open the file TRNSVRSL showing two parallel lines, ADHE, cut by a transversal CG.

4. The measure of ABC and HFB are given.

a. These two angles are ____________________ Angles.

b. Move point G to four different positions and record your measurements in the table.

1st position 2nd position 3rd position 4th position
mABC
mHFB

c. What is the relationship between the measurements of ABC and HFB?

Congruent, complementary, or supplementary? _______________

5. The measure of ABF and HFB are given.

a. These two angles are ____________________ Angles.

b. Move point G to four different positions and record your measurements in the table.

1st position 2nd position 3rd position 4th position
mABF
mHFB

c. What is the relationship between the measurements of ABF and HFB?

Congruent, complementary, or supplementary? _______________

6. The measure of DBF and HFB are given.

a. These two angles are ____________________ Angles.

b. Move point G to four different positions and record your measurements in the table.

1st position 2nd position 3rd position 4th position
mDBF
mHFB

c. What is the relationship between the measurements of DBF and HFB?

Congruent, complementary, or supplementary? _____________________

Problem 2 - Conjectures and Questions

Complete the following conjectures based on your answers above.

7. For parallel lines and a transversal, if two angles are corresponding angles, then...

8. For parallel lines and a transversal, if two angles are alternate interior angles, then...

9. For parallel lines and a transversal, if two angles are same-side interior angles, then...

Complete the following problems.

The triangles in the middle of the lines tell us that the lines are parallel.

10. Find the measurement of 1, 2, and 3.

11. Find the value of x and y.

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Date Created:
Feb 23, 2012
Last Modified:
Nov 03, 2014
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