Mathematical Proofs and CPCFC

What is the Symmetric property?

• If a=b, then  a can be substituted for b in any equation or expression
• a(b+c)=ab+ac
•  For any real number a, a=a .
•  If a=b, then b=a

What is the justification?

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

Tags

CCSS.HSG.CO.B.7

Identify the  missing statement or reason

• Reflexive Property
• Definition of Midpoint
• Given
• Vertical Angles Theorem

Tags

CCSS.HSG.SRT.B.5

How many columns are in a two-column proof?

• depends on the proof

• 5

• as many as you want

• 2

What is the heading of the LEFT column in a two-column proof?

• statements

• reasons

• stuff that is true

• solutinos

What is the heading of the RIGHT column in a two-column proof?

• Statements

• Reasons

• stuff that is true

• Results

The first reason in a two column proof is almost always...

• because my teacher said so

• given

• information

• The Pythagorean Theorem

Tags

CCSS.8.G.B.8

A proof is finished when...

• the last reason matches what you are trying to prove

• the last statement matches what you are trying to prove

• your brain says your finished

• you get tired

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

What is the reason?

• Definition of midpoint
• Definition of congruence

Tags

CCSS.HSG.CO.C.10