Unit Three: Transversals and Special Angles

Which of the following pairs of angles could you conclude are equal because if lines are parallel then alternate exterior angles are equal? 1 and 2 6 and 8 1 and 4 4 and 8

1 and 4 because they ask for EXTERIOR ANGLES

Match the following items. Complete the proof for Theorem 3-13. STATEMENT: 1. l||m 2. m∠1 = m∠3 3. m∠2 = m∠3 4. m∠1 = m∠2 REASONS: If lines are ||, corresponding angles are equal. Substitution Given Vertical angles are equal

1. Given 2. If lines are ||, corresponding angles are equal 3. Vertical angles are equal 4. Substitution

Match the reasons with the statements in the proof. Given: a || b, m∠2 = m∠3 Prove: m∠1 = m∠3 STATEMENT: 1. a||b, m∠2 = m∠3 2. m∠1 = m∠2 3. m∠1 = m∠3 REASONS: If lines are ||, corresponding angles are equal. Given Substitution

1. Given 2. If lines are ||, corresponding angles are equal. 3. Substitution

Match the reasons with the statements in the proof. Given: c || d, m∠4 = m∠5 Prove: m∠7 = m∠8 STATEMENTS: 1. c||d, m∠4=m∠5 2. m∠4 = m∠7 3. m∠5 = m∠8 4. m∠7 = m∠8 REASONS: If lines ||, alternate interior angles are equal. Vertical angles are equal. Substitution Given

1. Given 2. If lines ||, alternate interior angles are equal. 3. Vertical angles are equal. 4. Substitution

If l||m and the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is: 30 60 90 120

120

Given l||m and m∠1 = 60°, select all angles that are also equal to 60°. 2 3 4 5 6 7 8

2 3 4

If l||m and m∠6 = 4x - 15 and m∠7 = x + 30, then m∠6 = 15 35 39 45

45

Which of the following angles is corresponding with ∠5? 2 4 7 8

7

Using the figure below, select the two pairs of alternate exterior angles. 1 and 4 2 and 3 6 and 7 5 and 8

Angle 1 and Angle 4 Angle 5 and Angle 8

Using the figure below, select the two pairs of alternate interior angles. 1 and 4 2 and 3 6 and 7 5 and 8

Angle 2 and Angle 3 Angle 6 and Angle 7

Select all that apply. Which of the following statements are true of a transversal? It is a line. It is parallel to other coplanar lines. It intersects two or more coplanar lines. It bisects line segments. It can never be perpendicular to other lines.

It is a line. It intersects two or more coplanar lines.