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Q12

Expert-verified
Geometry
Found in: Page 76
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Illustration

Short Answer

Classify each pair of angles as alternate interior, same side interior or corresponding angles

and

and are corresponding angles

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1 . Observe the diagram

In the diagram, the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J, K, L respectively.

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.

Step 3. State the explanation

Consider the figur

It can be observed that are in the corresponding position with respect to the transversal .

Thus, by using the above definitions, it can be said that are corresponding angles.

Most popular questions for Math Textbooks

Name the two lines and the transversal that form each pair of angles.

and

Write proof in two column form

Given:

Prove:

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

Measure one pair of alternate interior angles. Repeat the experiment with another transversal. What appears to be true?
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