Proving angle relationships

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

If ∠2 and ∠3 are complementary and m∠2 = 28°, what is m∠3?

Back

m∠3 = 90° - m∠2 = 90° - 28° = 62°.

Front

What does the Symmetric Property state?

Back

The Symmetric Property states that if a = b, then b = a.

Front

What is the Transitive Property?

Back

The Transitive Property states that if a = b and b = c, then a = c.

Front

If G is between S and B, what is the segment addition equation?

Back

SG + GB = SB.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, a = a.

Front

If MN = OP and OP = QR, what can we conclude about MN and QR?

Back

By the Transitive Property, MN = QR.

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

If two angles are vertical angles, what can we say about their measures?

Back

Vertical angles are congruent, meaning their measures are equal.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.