Unit 2A Properties

What are complementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect.

Tags

CCSS.7.G.B.5

What are supplementary angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that are equal to each other
• Angles that are opposite of each other when lines intersect

Tags

CCSS.7.G.B.5

What are vertical angles?

• Angles that add up to 180°
• Angles that add up to 90°
• Angles that add up to 360°
• Angles that are opposite of each other when lines intersect and are equal

Tags

CCSS.7.G.B.5

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: 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.8.G.A.5

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: 2x=4
Prove: x=2

• Substitution
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

Given: <1 and <2 are right angles
Prove: <1 is congruent to <2

• Definition of Right Angles
• Right Angle Theorem
• Definition of Congruent Angles
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5