Parallel Lines & Transversals Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____
1. Find m∠ABC .
a. b. c. d.
m∠ABC m∠ABC m∠ABC m∠ABC
= 40º = 45º = 35º = 50º
____
2. A transversal intersects two lines. Which condition would always make the two lines parallel? a. Vertical angles are congruent. b. Alternate interior angles are congruent. c. Corresponding angles are supplementary. d. Same-side interior angles are complementary.
____
3. Based on the diagram below, which statement is true?
Corresponding angles are congruent. Subtract x from both sides. Add 70 to both sides. Divide both sides by 2.
m∠ABC = 3x − 70 m∠ABC = 3(35) − 70 = 35°
Substitute 35 for x. Simplify.
Feedback A B C D
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Use the Corresponding Angles Postulate. Correct! First, set the measures of the corresponding angles equal to each other. Then, solve for x and substitute in the expression (3x - 70).
PTS: 1 DIF: Advanced NAT: 8.3.3.g STA: 8.G.4 TOP: 7-2 Parallel and Perpendicular Lines 2. ANS: B PTS: 2 REF: 061007ge STA: G.G.35 TOP: Parallel Lines and Transversals 3. ANS: D The marked 60º angle and the angle above it are on the same straight line and supplementary. This unmarked supplementary angle is 120º. Because the unmarked 120º angle and the marked 120º angle are alternate exterior angles and congruent, d Ä e. PTS: 2
Parallel Lines & Transversals Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____
1. Based on the diagram below, which statement is true?
a. b. c. d.
____
Äb Äc Äe Äc
2. Find m∠ABC .
a. b. c. d. ____
a b d a
m∠ABC m∠ABC m∠ABC m∠ABC
= 50º = 45º = 40º = 35º
3. A transversal intersects two lines. Which condition would always make the two lines parallel? a. Alternate interior angles are congruent. b. Corresponding angles are supplementary. c. Same-side interior angles are complementary. d. Vertical angles are congruent.
1
ID: B
ID: B
Parallel Lines & Transversals Quiz Answer Section MULTIPLE CHOICE 1. ANS: C The marked 60º angle and the angle above it are on the same straight line and supplementary. This unmarked supplementary angle is 120º. Because the unmarked 120º angle and the marked 120º angle are alternate exterior angles and congruent, d e. PTS: 2 2. ANS: D (x)° = (3x − 70)° 0 = 2x − 70 70 = 2x 35 = x
REF: 080901ge
m∠ABC = 3x − 70 m∠ABC = 3(35) − 70 = 35°
STA: G.G.35
TOP: Parallel Lines and Transversals
Corresponding angles are congruent. Subtract x from both sides. Add 70 to both sides. Divide both sides by 2.
Substitute 35 for x. Simplify.
Feedback A B C D
First, set the measures of the corresponding angles equal to each other. Then, solve for x and substitute in the expression (3x - 70). Use the Corresponding Angles Postulate. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Correct!
PTS: TOP: 3. ANS: TOP:
1 DIF: Advanced NAT: 8.3.3.g 7-2 Parallel and Perpendicular Lines A PTS: 2 REF: 061007ge Parallel Lines and Transversals
Parallel Lines & Transversals Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____
1. Find m∠ABC .
a. b. c. d.
m∠ABC m∠ABC m∠ABC m∠ABC
= 35º = 50º = 45º = 40º
____
2. A transversal intersects two lines. Which condition would always make the two lines parallel? a. Corresponding angles are supplementary. b. Vertical angles are congruent. c. Alternate interior angles are congruent. d. Same-side interior angles are complementary.
____
3. Based on the diagram below, which statement is true?
Corresponding angles are congruent. Subtract x from both sides. Add 70 to both sides. Divide both sides by 2.
m∠ABC = 3x − 70 m∠ABC = 3(35) − 70 = 35°
Substitute 35 for x. Simplify.
Feedback A B C D
Correct! First, set the measures of the corresponding angles equal to each other. Then, solve for x and substitute in the expression (3x - 70). Use the Corresponding Angles Postulate. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
PTS: 1 DIF: Advanced NAT: 8.3.3.g STA: 8.G.4 TOP: 7-2 Parallel and Perpendicular Lines 2. ANS: C PTS: 2 REF: 061007ge STA: G.G.35 TOP: Parallel Lines and Transversals 3. ANS: C The marked 60º angle and the angle above it are on the same straight line and supplementary. This unmarked supplementary angle is 120º. Because the unmarked 120º angle and the marked 120º angle are alternate exterior angles and congruent, d e. PTS: 2
