Postulates and Theorems revolving Angles

Question 1

If a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.

Answer 1

Angle Addition Postulate

Question 2

If a transversal intersects two parallel lines, the pairs of corresponding angles are congruent.

Answer 2

Corresponding Angles Postulate

Question 3

Given a line and a point not on that line, there exists a unique line through the point parallel to the given line.

Answer 3

Parallel Postulate

Question 4

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

Answer 4

Alternate Exterior Angles Theorem

Question 5

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

Answer 5

Alternate Interior Angles Theorem

Question 6

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

Answer 6

Same-Side Interior Angles Theorem

Question 7

If two angles are vertical angles, then they have equal measures.

Answer 7

Vertical Angles Theorem

Question 8

True or False

Points that lie on the same line also lie on the same plane as the line.

Answer 8

True

Question 9

True or False

Postulates are accepted without proof and serve as fundamental principles in reasoning.

Answer 9

True

Question 10

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

Answer 10

Congruent

Question 11

The intersection of two planes is a ___.

Answer 11

Line that belongs to both planes

Question 12

An angle is formed by ___.

Answer 12

Two rays sharing a common endpoint