Linear Pair Postulate and Linear Pair

• congruent, by the corresponding angle postulate.

• supplementary, because linear pairs are supplementary.

• congruent, by the alternate exterior angle theorem.

• supplementary, by the consecutive interior angle theorem.

Tags

CCSS.8.G.A.5

What is the relationship between angle 7 and angle 8?

• Definition of Supplementary Angles

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Linear Pair Theorem

• Corresponding Angles Theorem

Tags

CCSS.8.G.A.5

The conclusion from this diagram is that angle 1 and angle 2 are a linear pair. What's the reason for this conclusion?

• Definition of linear pair

• Linear pair postulate

• definition of supplementary

Tags

CCSS.7.G.B.5

What does the Linear Pair Postulate say?

• Angle 1 and Angle 2 are a linear pair

• Angle 1 + Angle 2 = 90

• Angle 1 + Angle 2 = 180

• Angle 1 = Angle 2

Tags

CCSS.7.G.B.5

If two angles form a linear pair, then they are supplementary

• Linear Pair Postulate

• Definition of Supplementary

• Definition of Midpoint

• Definition of Complementary

Tags

CCSS.7.G.B.5

Given: <1 and <2 are a linear pair. Conclusion: m<1 + m<2 = 180. What is the reason that allows you to draw that conclusion?

• Angle addition postulate

• Definition of straight angle

• Linear Pair Postulate

• Definition of supplementary

Tags

CCSS.7.G.B.5

What is the justification?

• Reflexive Property of Congruence

• Vertical Angles Theorem

• Linear Pair Postulate

• Complement Theorem

Tags

CCSS.7.G.B.5

.

• Definition of Supplementary

• Linear Pair Theorem

• Congruent Supplements Theorem

• Symmetric Property

Tags

CCSS.7.G.B.5

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• m∠2 + m∠3 = 180° by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

Tags

CCSS.8.G.A.5

Solve for the variable.

• x = 16

• x = 8

• x = 4

• x = 2

Tags

CCSS.8.G.A.5