PROOF REASONS: geometric definitions, theorems, etc.

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.7.G.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

What is the reason?

• Definition of Complementary
• Definition of 180 
• Definition of supplementary
• Angle Addition

Tags

CCSS.7.G.B.5

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

• Addition POE
• Substitution POE
• Angle Addition Post.
• Segment Addition Post.

Which property justifies the next step?

• Segment addition postulate
• Definition of an angle bisector
• Angle addition postulate
• Definition of right angles

Tags

CCSS.4.MD.C.7

Identify the  missing statement or reason

• Given
• Vertical Angles Theorem
• Definition of Angle Bisector
• Alternate Interior Angles Theorem

Tags

CCSS.HSG.SRT.B.5

Identify the  missing statement or reason

• Definition of Angle Bisector
• Alternate Interior Angles Theorem
• Reflexive Property
• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

Name the property.
If A is in the interior of <BDC, then m<BDA + m<ADC = m<BDC. 

• Reflexive
• Transitive
• Segment Addition Postulate
• Angle Addition Postulate

Tags

CCSS.8.G.A.5

What is the reason?

• Definition of perpendicular
• Definition of Right angle
• Definition of 90 
• Definition of angle

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

What is the reason?

• Definition of Right angle
• Definition of obtuse Angle
• Definition of angle
• Definition of acute angle

Tags

CCSS.4.G.A.1