Unit Three: More Proofs - Transversals and Special Angles

Use the following figure to answer the question. Angle 1 and Angle 8 are _________ angles. alternate exterior alternate interior corresponding right

Alternate exterior

Use the following figure to answer the question. Angle 1 and Angle 5 are _________ angles. vertical alternate interior corresponding right

Corresponding

Use the following figure to answer the question. Angle 5 and Angle 7 are _________ angles. alternate exterior alternate interior supplementary right corresponding

Corresponding

True/False - A transversal must intersect two or more parallel lines.

False

Given: a || b, c || d Prove: measure of angle 1 = measure of angle 16 Which of the following would be the reasons for statements 3 and 4 in the proof? Vertical angles are equal. If lines are ||, corresponding angles are equal. If lines are ||, alternate interior angles are equal. If lines are ||, alternate exterior angles are equal.

If lines are ||, corresponding angles are equal.

Ray knows that the m∠3 = m∠6. Which of the following conclusions can Ray make based on the given information? Lines l and m are parallel because alternate interior angles are equal. Lines l and m are parallel because alternate exterior angles are equal. Lines l and m are parallel because corresponding angles are equal. No conclusion can be made about the lines.

Lines l and m are parallel because alternate interior angles are equal.

Match the reasons with the statements in the proof if the last line of the proof would be 6. ∠1 and ∠7 are supplementary by definition. Given: s || t Prove: ∠1, ∠7 are supplementary STATEMENTS: 1. s||t 2. ∠5 and ∠7 are supplementary. 3. m∠5 + m∠7 = 180° 4. m∠1 = m∠5 5. m∠1 + m∠7 = 180° REASON: If lines are ||, corresponding angles are equal. Given Definition of supplementary angles. Substitution Exterior sides in opposite rays.

1. Given 2. Definition of supplementary angles. 3. Substitution 4. If lines are ||, corresponding angles are equal. 5. Exterior sides in opposite rays.

Match the reasons with the statements in the proof if the last line of the proof is:∠3 and ∠5 are supplementary because of the definition of supplementary. Given: s || t Prove: ∠3, ∠5 are supplementary STATEMENT: 1. s||t 2. ∠1 and ∠3 are supplementary 3. m∠1 + m∠3 = 180° 4. m∠1 = m∠5 5. m∠5 + m∠3 = 180° REASONS: Exterior sides in opposite rays If lines are ||, corresponding angles are equal Given Substitution Definition of supplementary

1. Given 2. Exterior sides in opposite rays 3. Definition of supplementary 4. If lines are ||, corresponding angles are equal 5. Substitution

Use the following figure to answer the question. Angle 1 and Angle 4 are _________ angles. corresponding vertical supplementary adjacent

Vertical

Use the following figure to answer the question. Angle 1 and Angle 3 are _________ angles. corresponding vertical supplementary complementary

Supplementary

Use the following figure to answer the question. Angle 1 and Angle 5 are _________ angles. alternate exterior alternate interior supplementary right

Supplementary