One-Step Proofs Review

Front

Given: m<A=m<B and m<B=m<C
Prove: m<A=m<C

Back

Transitive Property of Equality 

Front

Given: the picture
Prove: m<APC=m<DPB
Options: Corresponding Angle Posulate, Vertical Angle Theorem, Definition of Congruent Angles, Linear Pair Theorem

Back

Vertical Angle Theorem

Front

Given: AM is congruent to MB
Prove: M is the midpoint of segment AB

Back

Definition of Midpoint

Front

Given: Triangle ABC is an equilateral triangle.
Prove: Side AB is congruent to side BC.

Back

Definition of Equilateral Triangle

Front

Given: Ray BD bisects <ABC. Prove: m<ABD=m<DBC

Back

Definition of Angle Bisector

Front

Given: Line l is parallel to line m
Prove: <1 is congruent to <8
Options: Linear Pair Theorem, Corresponding Angle Postulate, Vertical Angle Theorem, Congruent Supplements Theorem

Back

Corresponding Angle Postulate

Front

Given: the picture
Prove: Segment PF is congruent to segment FQ

Back

Definition of Segment Bisector

Front

Given: m<1+m<2=180 degrees
Prove: <1 and <2 are supplementary

Back

Definition of Supplementary Angles

Front

Given: AB=AB
Prove: AB=AB
Options: Reflexive Property of Equality, Symmetric Property of Equality, Transitive Property of Equality, Substitution

Back

Reflexive Property of Equality

Front

Given: m<A=180 degrees
Prove: <A is a straight angle

Back

Definition of Straight Angle