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Chapter 3: Q3 (page 80)

State the postulate or theorem that justifies each statement.

鈭�3鈮�鈭�6

Short Answer

Expert verified

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Step by step solution

01

Step 1. First observation from figure

Arrowheads are shown on lines Iand P, so these lines are parallel.

02

Step 2. Second observation from figure

Line tis transversal to the parallel lines IandP.

03

Step 3. Third observation from figure

鈭�3and 鈭�6are alternate interior angles.

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

鈭�3鈮�鈭�6

Thus, theorem 3-2 justifies given statement.

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Most popular questions from this chapter

Draw a diagram of a six-sided box by following the steps below.

Draw a six-sided top. Then draw Draw vertical edges.

An exact copy of the top directly edges dashed

below it. Make invisible

Draw each figure described.

42. Lines I鈭�plane X, plane X鈭�plane Y, and I is not parallel to Y.

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name five lines that appear to be parallel toAG炉.

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, same side interior or corresponding angles

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