Chapter 3

Question 1

Corresponding Angles Postulate (CAP)

Answer 1

If a transversal intersects two parallel lines, then corresponding angles are congruent.

Question 2

Alternate Interior Angles Theorem

Answer 2

If a transversal intersects two parallel lines, then alternate interior angles are congruent.

Question 3

Alternate Exterior Angles Theorem

Answer 3

If a transversal intersects two parallel lines, then alternate exterior angles are congruent.

Question 4

Same-Side Interior Angles Theorem

Answer 4

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

Question 5

Same-Side Exterior Angles Theorem

Answer 5

If a transversal intersects two parallel lines, then same-side exterior angles are supplementary.

Question 6

Converse of Corresponding Angles Postulate

Answer 6

If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.

Question 7

Converse of Alternate Interior Angles Theorem

Answer 7

If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel.

Question 8

Converse of Alternate Exterior Angles Theorem

Answer 8

If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.

Question 9

Converse of Same-Side Interior Angles Theorem

Answer 9

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

Question 10

Converse of Same-Side Exterior Angles Theorem

Answer 10

If two lines and a transversal form same-side exterior angles that are supplementary, then the two lines are parallel.

Question 11

Theorem 3-9: If two lines are parallel to the same line,

Answer 11

then they are parallel to each other.

Question 12

Theorem 3-10: In a plane, if two lines are perpendicular to the same line,

Answer 12

then they are parallel to each other.

Question 13

Theorem 3-11: In a plane, if a line is perpendicular to one of two parallel lines,

Answer 13

then it is also perpendicular to the other.

Question 14

Triangle Angle-Sum Theorem

Answer 14

The sum of the measures of the angles of a triangle is 180

Question 15

Triangle Exterior Angle Theorem

Answer 15

The measure of each exterior angle of a triangle equals the sum of the measures of the remote interior angles.