Algebraic and Geometric Proofs Practice

Reorder the reasons for the proof.

• 1. 1. Given

• Transitive Property of Congruence

• Given

• Definition of midpoint

Tags

CCSS.HSG.SRT.B.5

Match the following terms and definitions

• Vertical Angles

• Two angles that ADD to 180°
  

• Midpoint

• Two angles that ADD to 90°

• Angle Bisector

• 
• Supplementary Angles

• 
• Complementary Angles

• 

Tags

CCSS.7.G.B.5

Fill in the blanks of the proof.

f

e

d

c

b

a

g

B is the midpoint of segment AC

AB + BC = AC

AB = BC

2AB = AC

Definition of midpoint

Simplify

Given

Tags

CCSS.HSG.CO.B.6

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

What is the justification?

• Definition of Supplementary Angles

• Vertical Angles Theorem

• Definition of an Angle Bisector

• Angle Addition Postulate

Tags

CCSS.7.G.B.5

What is the justification?

• Congruent Supplements Theorem

• Vertical Angles Theorem

• Definition of Supplementary Angles

• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Tags

CCSS.HSG.CO.C.10

What is the justification?

• Congruent Complements Theorem

• Angle Bisector Theorem

• Angle Addition Postulate

• Division Property of Equality

Tags

CCSS.HSG.CO.C.9