Geometry Parallel Lines and Transversals Quiz: 10 Questions with Explanations

A 110B 70C 20D 140

Angles 2 and 6 are corresponding angles, so they are congruent. The value 110 would be a supplement.

A 36B 30C 18D 72

Same-side interior angles add to 180, so 5x = 180 and x = 36.

A 133 degreesB 57 degreesC 47 degreesD 90 degrees

A linear pair adds to 180 degrees, so 180 – 133 = 47. The vertical angle would measure 133 degrees.

A The lines are perpendicularB The two lines are parallelC The transversal is perpendicularD Nothing, the angles are not special

Congruent alternate interior angles prove the lines are parallel (converse of the theorem).

A Corresponding anglesB Alternate interior anglesC Same-side interior anglesD Vertical angles

Vertical angles are congruent whenever two lines cross. The other pairs need parallel lines.

A 4B 14C 7D 28

Set 6x – 10 = 4x + 18, so 2x = 28 and x = 14. The value 28 is 2x.

A 9B 18C 4.5D Cannot be found

Points on a perpendicular bisector are equidistant from both endpoints, so PB = PA = 9.

A The lines are not parallelB The lines are parallelC The lines are perpendicularD The angles are supplementary

Parallel lines make corresponding angles congruent, and 81 is not 84.

A (8, 2)B (4, 5)C (6, 1)D (6, 5)

Average the coordinates: (2 + 10)/2 = 6 and (-4 + 6)/2 = 1.

A 2B 8C 1D 4

The angle, its vertical angle, and the two matching angles at the other line all measure 48. The other four measure 132.