Chapter 3: Q3 (page 80)

State the postulate or theorem that justifies each statement.
$∠ 3 ≅ ∠ 6$

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

Step 1. First observation from figure

Arrowheads are shown on lines $I$ and $P$ , so these lines are parallel.

Step 2. Second observation from figure

Line $t$ is transversal to the parallel lines $I$ and $P$ .

Step 3. Third observation from figure

$∠ 3$ and $∠ 6$ are alternate interior angles.

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

$∠ 3 ≅ ∠ 6$

Thus, theorem 3-2 justifies given statement.

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State the postulate or theorem that justifies each statement.
$∠ 3 ≅ ∠ 6$

Short Answer

Step by step solution

Step 1. First observation from figure

Step 2. Second observation from figure

Step 3. Third observation from figure

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State the postulate or theorem that justifies each statement.∠3≅∠6

Short Answer

Step by step solution

Step 1. First observation from figure

Step 2. Second observation from figure

Step 3. Third observation from figure

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Applied Mathematics

Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

State the postulate or theorem that justifies each statement.
$∠ 3 ≅ ∠ 6$