Proofs Review

Rigid Motions preserve ...

• size and shape
• size and location
• shape and location
• shape and direction

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What is the justification (reason)?

• Reflexive Property
• Symmetric Property
• Transitive Property
• Substitution

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What is the justification (reason)?

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

Tags

CCSS.HSG.CO.A.1

If <M = <L then <L = <M

• Transitive POE
• Substitution POE
• Symmetric POE
• Reflexive POE

Tags

CCSS.HSG.CO.C.9

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

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.A.1

IF <ABC ≅ <DEF, then m<ABC = m<DEF

• Reflexive POE
• Addition POE
• Def. of congruent angles
• Def. of right angles

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

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

• Prove
• Given
• Reason
• Statement

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

• m∠A + m∠B = 90
• A and B are both acute angles
• m∠A + m∠B = 180
• A and B are both obtuse angles

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.A.1

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

• Vertical Angles Theorem
• Definition of Congruent Angles
• Angle Addition Postulate
• Batman

Tags

CCSS.HSG.CO.C.9

If ∠CAT is a right angle, then m∠CAT = 90°.

• Definition of Right Angle
• Definition of Congruent Angles
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.C.A.2