Axioms, Postulates, & Theorems

A point that bisects a segment into two congruent segments

• midpoint
• ray
• skew lines
• angle

Tags

CCSS.HSG.CO.D.12

A rule that is accepted without proof

• postulate
• theorem
• proof
• conditional statement

Tags

CCSS.8.G.A.5

A statement proved true using axioms, postulates, or other theorems known to be true

• theorem
• angle
• transversal
• Euclidean Geometry

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

A mathematical statement that requires proof is a

• theorem

• postulate

• definition

• conjecture

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.11

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

A mathematical statement that does NOT require proof is a

• theorem

• postulate

• conjecture

• definition

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

• Straight Angle Theorem

• Congruent Compliments Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

Tags

CCSS.HSG.CO.C.9

If AB=50, which definition would explain why AM=25?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.6

Given that AM=MB, what definition allows us to say that the respective segments are congruent?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Tags

CCSS.HSG.CO.A.1

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

• Definition of Midpoint

• Definition of Angle Bisector

• Definition of Congruent

• Definition of Segment Bisector

Tags

CCSS.HSG.CO.C.9

The property demonstrated by the following:

If AB=CD and CD=EF, then AB=EF

• reflexive

• substitution

• segment addition

• transitive