Reasons for Proofs

Front

What does a proof always start with?

Back

Given Statement(s)

Front

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

Back

Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.9

Front

If B is the midpoint of AC, then AB ≅ BC.

Back

Definition of Midpoint

Tags

CCSS.HSG.GPE.B.6

Front

If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.

Back

Transitive Property of Equality

Tags

CCSS.HSG.SRT.B.5

Front

What should the reasons be for the first 2 statements?

Back

Given

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of ∠AOC, then ∠AOB + ∠BOC = ∠AOC.

Tags

CCSS.4.MD.C.7

Front

What does the Reflexive Property of Equality state?

Back

For any number a, a = a.

Tags

CCSS.7.EE.A.1

Front

What is the definition of congruent segments?

Back

Segments that have the same length.

Tags

CCSS.8.G.A.2

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Tags

CCSS.7.EE.A.1