Geometry Angle Proofs

Angles that form a linear pair are supplementary.

Substitution

Reflexive Property of Congruence

Angles of equal measure are congruent.

$$AD≅DB$$  

$$CD≅CD$$  

$$m\angle ADC+m\angle BDC=180\degree$$  

$$\angle ADC\cong\angle BDC$$  

Alternate Exterior Angle are Congruent

Reflexive Property of Congruence

Angles that form a linear pair are supplementary.

Alternate Interior Angles are Congruent.

Alternate Exterior Angle are Congruent

Reflexive Property of Congruence

Angles that form a linear pair are supplementary.

Alternate Interior Angles are Congruent.

Yes, because alternate exterior angles are congruent.

Yes, because corresponding angles are congruent.

No, because alternate exterior angles are not supplementary

Yes, because alternate interior angles are congruent

m<ABC = m<DEF

m<3 + m<4 = m<DEF

m,<2 = m<4

Angle Addition Postulate

m,<1 = m<3

true

Same Side Interior Angle are supplementary

Corresponding Angle Pairs are congruent

false

Alternate Interior Angles are congrunent

Vertical Angles are congrunet

Linear Pair are supplementary

ASA

SAS

SSS

Hypotenuse Leg Thm

ASA

SAS

SSS

Cannot be determined

Reflexive Property of Congruence

Corresponding Parts of Congruent Triangles are Congruent

Angles that form a linear pair are supplementary.

Alternate Interior Angles are Congruent.