Basic Proof Practice

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Definition of Complementary Angles
• Def of right angle

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Def. of congruent angles
• Def. of right angles

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.9

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

• Prove
• Given
• Reason
• Statement

If X is between R & T on a line,
then RX + XT = RT

• Segment Addition Post.
• Angle Addition Post.

What is the reason?

• Definition of Complementary
• Definition of supplementary

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.SRT.C.7

What is the reason?

• Definition of congruence
• Definition of Angle

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the reason?

• Definition of supplementary
• Definition of complementary

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.7

What is the reason?

• Definition of midpoint
• Definition of congruence

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.10

What is the justification?

• Transitive Property 
• Reflexive Property 

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Which property justifies the next step?

• Linear Pairs are Supplementary
• Congruent supplements thm