Parallel Lines

If a transversal intersects two parallel lines, the sum of the interior angles on the same side of the transversal is:

• 90°

• 180°

• 360°

• 0°

If two lines are cut by a transversal and corresponding angles are equal, the lines are:

• (A) Perpendicular 

•  (B) Parallel 

• (C) Skew

•  (D) Intersecting

How many angles are formed when a transversal cuts two lines?

• 2

• 4

• 6

• 8

Alternate interior angles are:

• (A) Always unequal 

• (B) Supplementary 

• (C) Always equal if lines are parallel 

• (D) None of the above

If ∠a and ∠b are corresponding angles and ∠a = 68°, then ∠b is:

• (A) 122° 

• (B) 68° 

• (C) 112° 

• (D) 98°

If a line is perpendicular to one of two parallel lines, it is also:

• (A) Skew to the other

• (B) Intersecting the other at any angle

• (C) Perpendicular to the other 

• (D) Parallel to the other

The test used to prove lines are parallel using interior angles on the same side of a transversal is called:

• (A) Perpendicular test

• (B) Vertical angle test

• (C) Interior angle test

• (D) Linear pair test

In triangle PQR, if ∠P = 50° and ∠Q = 60°, then ∠R is:

• (A) 60°

• (B) 70° 

• (C) 80°

• (D) 90°

If one of the alternate interior angles is 75°, the other is:

• (A) 75°

• (B) 105°

•  (C) 45°

• (D) 90°

A transversal forms one angle of 120° with a parallel line. The vertically opposite angle is:

• (A) 60°

• (B) 120°

• (C) 90°

• (D) 180°