Geometric Proofs

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

Tags

CCSS.8.G.A.2

What is the justification that the measure of angle DAE plus the measure of angle EAF = 90 degrees?

• definition of supplementary angles
• definition of complementary angles
• Vertical Angles Theorem
• definition of bisect

Tags

CCSS.7.G.B.5

What is the justification?

• Transitive Property
• Substitution Property
• Reflexive Property
• Symmetric Property

What allows to say that angle IKH is congruent to angle GKJ?

• definition of vertical angles
• Linear Pairs Theorem
• definition of a straight angle
• Vertical angles theorem

Tags

CCSS.7.G.B.5

What is the justification?

• reflexive property
• definition of bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

What would allow you to write this equation? 

• definition of complementary angles
• definition of supplementary angles
• Transitive Property
• Symmetric Property

Tags

CCSS.7.G.B.5

What is the reason for the above?

• Angle Addition Postulate
• Segment Addition Postulate
• Definition of Midpoint
• Transitive Property of Congruence

Tags

CCSS.HSG.SRT.B.4

What is the reasoning behind the following?
Given: ∠1 and ∠2 are supplementary. ∠2 and ∠3 are supplementary.
Prove: ∠1 ≅ ∠3

• Congruent Supplements Theorem
• Reflexive Property of Congruence
• Definition of Supplementary Angles
• Definition of Congruence

Tags

CCSS.HSG.SRT.B.5

What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution Property of Equality

Tags

CCSS.HSG.SRT.B.5

What is the reason?

• Definition of congrucent
• Definition of midpoint
• Definition of segment
• Segment Addition 

Tags

CCSS.HSG.SRT.B.4