Postulates, Theorems, and Definitions

The points on any line or line segment can be put into one-to-one correspondence with real numbers.

• Number Postulate
• Ruler Postulate 
• Segment Addition Postulate
• Correspondence Postulate

If A, B, and C are colinear, then point B is between A and C if and only if AB+BC+AC

• Number Postulate
• Ruler Postulate 
• Segment Addition Postulate
• Correspondence Postulate

Midpoint tells us

• AB=BC
• AB=CD
• AB=AB
• AB

What can we conclude

• AB=CD
• AB=BC
• AB=CD
• AB and CD are squares

Why can we conclude AB=CD

• Definition of Congruent Segments
• Because BC is the midpoint
• Because all segments are equal
• Segment Equality Property

Tags

CCSS.HSG.SRT.B.5

If a=3 and a+b=7, then 3+b=7. What is the reason?

• Transitive Property
• Subsitution
• Equality Postulate
• Definition of a

What is the reason?

• Given
• Obvious
• Definition of Midpoint
• Midpoint Postulate

Tags

CCSS.HSG.CO.C.10

What is the reason?

• Definition of Midpoint
• Midpoint Postulate
• Subsitution
• Segment Addition Postulate

Why can we make these claim about the picture?

• Given
• Segment Addition Postulate
• Definition of a Midpoint
• Theorem of Equality

Name the property that allows us to say: a=a?

• Reflexive
• Symmetric
• Transitive