Reasoning and Proof Geometry Review

Which is the correct reason for statements 2 and 4 in the proof?

• Corresponding Angles

• Substitution

• Definition of Congruent Angles

• Vertical Angles are congruent.

Tags

CCSS.7.G.B.5

Which reason justifies the statement below?
If MN = PQ, then MN ≅ PQ.

• Definition of Congruence

• Definition of Midpoint

• Reflexive Property

• Symmeric Property

Tags

CCSS.HSG.SRT.B.5

Angles that share a common vertex and side

• Supplementary angles

• Adjacent angles

• Vertical angles

• Complementary angles

Tags

CCSS.7.G.B.5

Match the REASONS with the STATEMENTS.

d

e

f

g

h

Transitive property

Addition property

Def of congruent angles DOCA

Def of angle bisector

Reflexive property

Given

Vertical angles

Linear pair

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

What is always the 1st statement in reason column of a proof?

• Prove

• Given

• Reason

• Statement

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

• Inductive

• Deductive

If ∠ABX ≅∠XBC, then BX bisects ∠ABC

• definition of angle bisector

• angle bisector theorem

• definition of midpoint

• midpoint theorem

Tags

CCSS.HSG.CO.C.9

If W is on the interior of ∠XYZ,
then m∠XYW + m∠WYZ = m∠XYZ

• angle addition postulate

• segment addition postulate

• addition property

• definition of angle bisector

Tags

CCSS.8.G.A.5

If AC ⊥ XD , then m∠CXD = 90

• definition of perpendicular lines

• if 2 lines form ≅ adj. ∠s, then they are perpendicular

• if 2 lines are perpendicular, then they form ≅ adj. ∠s

• definition of a right angle

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

If ∠1 is supp. to ∠4, and ∠2 is supp to ∠4, then ∠1≅∠2

• ≅ Supplements Theorem

• ≅ Complements Theorem

• Supplements Theorem

• Complements Theorem

Tags

CCSS.HSG.SRT.B.5