Supply the second reason.

Alternate Interior Angles Theorem

Supply the third reason.

Alternate Interior Angles Postulate

Same Side Interior Angles Theorem

The last statement is <4 = <6. What is the last reason

Alternate Interior Angles Theorem

If you know that angles 1 and 2 are vertical, what else do you know?

Angles 1 and 2 are supplementary

Angles 1 and 2 are right angles

Angles 1 and 2 are corresponding angles

Which property justifies the next step?

Definition of an angle bisector

4) What is the reason for Statement 3

Angles that form a Linear Pair that sums 180°

Same-side Interior Angles Theorem

11) What is the reason for Statement 2?

Alternate Exterior Angles Theorem

Converse of Corresponding Angles Theorem

What is the reason for number 5

Definition of Supplementary Angles

Which property justifies the next step?

Definition of supplementary angles

What is the REASON for Statement #2?

Definition of Complementary Angles

Reflexive Property of Congruence

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

∠1 ≅ ∠5 by the corresponding angles postulate

∠2 ≅ ∠4 by the alternate interior angles theorem

∠1 ≅ ∠2 by the definition of an angle bisector

∠3 and ∠5 are supplementary by the consecutive interior angles theorem

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

If ∠2 is supplementary to ∠3, which of the following can be used to determine lines are parallel?

Interiors on Same Side Converse

Alternate Interior Angles Converse

Alternate Exterior Angles Converse

If ∠8 ≅ ∠6, then ________.

Cannot determine 2 lines to be parallel.

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

Alternate Interior Angles Converse

Alternate Exterior Angles Converse

Interiors on Same Side Converse

If ∠1 ≅ ∠3, then ________.

Cannot determine 2 lines to be parallel.

If m∠5=65˚ and m∠9=115˚, then ________.

Cannot determine 2 lines to be parallel.

What is the difference between a theorem and a postulate?

A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

A theorem is a statement that is assumed true without proof while a postulate is a true statement that can be proven.

Name the property of equality that the statement illustrates. If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

Substitution Property of Equality

Transitive Property of Equality

Definition of Complementary Angles

Transitive Property of Congruence

Name the property of equality that the statement illustrates. If ∠S and ∠P are supplementary, then m∠S + m∠P = 180°

Definition of Supplementary Angles

Definition of Complementary Angles

Justifying Statements and Angle Pairs

Quiz

•

Mathematics, Other

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.5, 7.G.B.5, 8.G.A.2

+9

Standards-aligned

Ka-Lea Petty-Harris

Used 14+ times

FREE Resource

Tags

CCSS.8.G.A.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Vertical Angles

Similar Angles

Supplementary Angles

Corresponding Angles

Tags

CCSS.7.G.B.5

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