Angle Proofs Terms

m $\angle$  ABD + m $\angle$  DBC = m $\angle$  ABC

• Vertical Angles Theorem 

• Angle Addition Postulate 

• Def. of congruence 

• Def. of midpoint 

Tags

CCSS.HSG.CO.C.10

If two angles form a right angle,
then they are complementary
Right Angle  $\rightarrow$  Complementary 

• Def. of complementary angles 

• Def. of supplementary angles

• Congruent Complements theorem 

• Complement Therorem 

Tags

CCSS.HSG.CO.C.9

If two angles are vertical, then they are congruent

• Vertical Angles Theorem

• Def. of vertical angles

Tags

CCSS.HSG.CO.C.9

If two angles form a linear pair,
then they are supplementary
Linear pair $\rightarrow$  Supplementary 

• Congruent supplements theorem 

• Supplement theorem 

Tags

CCSS.HSG.CO.C.9

If $\angle$  A is complementary to $\angle$  B and $\angle$  C is complementary to  $\angle$  B, then  $\angle$  A  $\cong$   $\angle$  C

• Complement Theorem

• Congruent Complements Theorem

Tags

CCSS.HSG.CO.C.9

If $\angle$  A is supplementary to $\angle$  B and $\angle$  C is supplementary to $\angle$  B, then $\angle$  A  $\cong$   $\angle$  C 

• Congruent Supplements Theorem 

• Supplement Theorem 

Tags

CCSS.HSG.CO.C.9

A right angle = 90 $\degree$  

• Right angle property 

• Def. of a Right Angle 

Tags

CCSS.HSG.CO.A.1

Supplementary $\leftrightarrow$  Sum is 180 $\degree$  

• Def. of Supplementary angles 

• Supplement theorem 

Perpendicular lines form right angles

• Def. of perpendicular

• Perpendicular segment

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Complementary $\leftrightarrow$  Sum is 90 $\degree$  

• Complement theorem 

• Def. of complementary angles 

Tags

CCSS.HSG.SRT.C.7