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Chapter 3: Q12 (page 76)

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

art

and

Short Answer

Expert verified

and are corresponding angles

Step by step solution

01

. 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.

02

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.

03

Step 3. State the explanation

Consider the figure

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.

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Most popular questions from this chapter

Name six lines parallel to

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.

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

State the postulate or theorem that justifies each statement.

k⊥p

Complete each statement with the word always, sometimes, or never.

When there is a transversal of two lines, the three lines are coplanar
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