One-Step Proofs Review

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

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality 
• Substitution

Tags

CCSS.HSG.SRT.B.5

Given: the picture
Prove: m<APC=m<DPB

• Corresponding Angle Posulate
• Vertical Angle Theorem
• Definition of Congruent Angles
• Linear Pair Theorem

Tags

CCSS.7.G.B.5

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

• Definition of Midpoint
• Definition of Segment Bisector
• Definition of Congruent Segments
• Segment Addition Posulate

Tags

CCSS.HSG.CO.A.1

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

• Definition of Isosceles Triangle
• Definition of Congruent Angles
• Definition of Equilateral Triangle
• Definition of Angle Bisector

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

Given: Ray BD bisects <ABC.

Prove: m<ABD=m<DBC

• Definition of Segment Bisector

• Definition of Congruent Angles

• Angle Addition Postulate

• Definition of Angle Bisector

Given: Line l is parallel to line m
Prove: <1 is congruent to <8

• Linear Pair Theorem
• Corresponding Angle Postulate
• Vertical Angle Theorem
• Congruent Supplements Theor

Tags

CCSS.HSG.CO.C.9

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

• Segment Addition Postulate
• Definition of Angle Bisector
• Definition of Segment Bisector
• Definition of Midpoint

Tags

CCSS.HSG.CO.B.6

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

• Congruent Supplements Theorem
• Linear Pair Theorem
• Definition of Complementary Angles
• Definition of Supplementary Angles

Tags

CCSS.7.G.B.5

Given: AB=AB
Prove: AB=AB

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution

Tags

CCSS.HSG.SRT.B.5

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

• Definition of Supplementary Angles
• Linear Pair Theorem
• Definition of Straight Angle
• Vertical Angle Theorem

Tags

CCSS.HSG.CO.A.1