Geometry Parallel Lines & Transversals 2

Question 1

Parallel lines l and m are cut by a transversal. One alternate interior angle measures 65°. What does the other alternate interior angle measure?

Accepted Answer

65°

Answer

Alternate interior angles are congruent when lines are parallel, so both measure 65°.

Question 2

Which angle relationship, when congruent, proves that two lines cut by a transversal are parallel?

Accepted Answer

Corresponding angles

Answer

If corresponding angles are equal, the lines are parallel by the Converse of the Corresponding Angles Postulate.

Question 3

When a transversal crosses two parallel lines (not at 90°), how many distinct angle measures are formed among the 8 angles?

Accepted Answer

2

Answer

Due to parallel line properties, all 8 angles take only 2 distinct values — one angle and its supplement.

Question 4

Consecutive interior angles formed by two parallel lines and a transversal are also known as _____.

Accepted Answer

co-interior angles

Answer

Consecutive interior angles (same-side interior angles) are also called co-interior angles.

Question 5

Two parallel lines are cut by a transversal forming co-interior angles of 3x° and (2x + 10)°. What is x?

Accepted Answer

34

Answer

Co-interior angles sum to 180°: 3x + 2x + 10 = 180, so 5x = 170 and x = 34.

Geometry Practice Test