Geometric Proofs Reasons Matching.

 $Ifa≅b\ then\ b≅a$  

• Transitive Property

• Symmetric Property

• Reflexive Property

 $m∠1+m∠2=90°$  

• Definition of Complementary

• Definition of Supplementary

• Angle Addition Postulate

Tags

CCSS.HSG.CO.A.1

 $If∠D\ is\ straight\ then∠D=180°$  

• Definition of straight angle

• Definition of supplementary angle

• Definition of complementary angle

Tags

CCSS.HSG.CO.A.1

Parallel lines are two lines that never intersect.

• Definition of perpendicular lines

• Definition of no solution

• Definition of parallel lines

Tags

CCSS.HSG.CO.A.1

If angles are vertical then they are congruent.

• Angle addition postulate

• Vertical angle theorem

• Linear pair theorem

Tags

CCSS.HSG.CO.C.9

If <T and < S form a linear pair, then they are supplementary.

• Definition of supplementary angles

• Definition of complementary angles

• Linear pair theorem

Tags

CCSS.HSG.CO.C.9

 $If∠C\ ≅\ ∠B\ then\ m∠C=m∠B$  

• Transitive property

• Definition of congruence

• Symmetric property

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

If they are adjacent angles, then they share one vertex and one ray.

• Linear pair theorem

• Definition of adjacent angles

• Definition of vertical angles

Tags

CCSS.HSG.CO.A.1

 $If\ a≅b\ and\ b≅c\ then\ a≅c$  

• Symmetric property of congruence

• Reflexive property of congruence

• Transitive property of congruence

 $If\ \ a≅b\ \ then\ \ b≅a$  

• Reflexive property of congruence

• Symmetric property of congruence

• Transitive property of congruence