Geometric Proof Introduction

If M is the midpoint of AB, then AM = MB. Which of the following reasons fits for the statement?

• Definition of Congruence

• Definition of Midpoint

• Reflexive POE

• Symmetric POE

 $If\ \angle1\ and\ \angle2\ are\ complementary,\ then\ m\angle1+m\angle2=90.$  Which reason below supports this?

• Addition POE

• Subtraction POE

• Definition of a right angle

• Definition of Complementary Angles

Tags

CCSS.HSG.CO.A.1

What is the justification?

• Symmetric Property of Congruence

• Angle addition postulate

• Reflexive Property of Congruence

• Transitive Property of Congruence

Tags

CCSS.HSG.CO.C.9

Name the property of equality of congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

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?

• Reflexive Property of Congruence

• Vertical Angles Theorem

• Linear Pair Postulate

• Definition of Linear Pair

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Angle Addition Postulate

What is the justification?

• Linear Pair Postulate

• Vertical Angles Theorem

• Definition of Supplementary Angles

• Definition of Complementary Angles

What is the justification?

• Definition of Congruence

• Definition of Perpendicular

• Definition of a Right Angle

• Definition of Complementary Angles

Tags

CCSS.HSG.SRT.B.4