Intro to Proofs Geometry

What is the reason?

• Angle Addition Postulate

• Definition of 90 

• Definition of supplementary

• Definition of complementary

What is the reason?

• Definition of midpoint

• Definition of congruent

• Definition of segment

• Segment Addition Postulate

What is the justification?

• Symmetric Prop.

• Angle addition postulate

• Reflexive Prop

• Transitive Prop.

What is the reason?

• Transitive

• Substitution

• Reflexive

• Segment Addition

What is the reason?

• Angle Addition 

• Segment Addition

• Definition of Congruence

• Definition of Between

What justifies this statement?

• Addition Property 

• Definition of Midpoint 

• Segment Addition Postulate 

• Definition of Congruent Segments 

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

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Which two statements make up the following biconditionals: "A polygon is a triangle if and only if it has exactly 3 sides."

• If a polygon is a triangle, then the polygon has exactly three sides. If a polygon has exactly three sides then it is a triangle

• If a polygon is not a triangle, then the polygon does not have three side. If a polygon does not have three sides,then it is not a triangle.

• A polygon is a triangle. The polygon has three sides.

A statement or conjecture that has been proven

• Plane

• Postulate

• Axiom

• Theorem

State the reason, given: If B is the midpoint of RL, then RB=BL

• Definition of congruent segments

• Segment addition postulate

• Given

• Definition of midpoint