3.5

Question 1

Transversal

Answer 1

A transversal is a line that intersects two or more coplanar lines at different points.

Question 2

Corresponding Angles

Answer 2

Two angles are corresponding angles if they occupy corresponding positions, such as angle 1 and angle 5.

Question 3

Alternate Interior Angles

Answer 3

Two angles are alternate interior angles if they lie between l and m on opposite sides of t, such as angle 2 and angle 8.

Question 4

Alternate Exterior Angles

Answer 4

Two angles are alternate exterior angles if they lie outside l and m on opposite sides of t, such as angle 1 and angle 7.

Question 5

Consecutive Interior Angles

Answer 5

Two angles are consecutive interior angles if they lie between l and m on the same side of t such as angle 2 and angle 5.

Question 6

Postulate 15: Corresponding Angles Postulate

Answer 6

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Question 7

Theorem 3.6: Alternate Interior Angles Theorem

Answer 7

If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Question 8

Theorem 3.7: Consecutive Interior Angles Theorem

Answer 8

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Question 9

Theorem 3.8: Alternate Exterior Angles Theorem

Answer 9

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Question 10

Theorem 3.9: Perpendicular Transversal Theorem

Answer 10

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second.