Carnegie Geometry Module 2 Topic 2 Honors

In the figure, two angles are marked congruent. Which theorem justifies the conclusion that m || n?

• A) Alternate Exterior Angles Theorem

• B) Alternate Exterior Angles Converse Theorem

• C) Corresponding Angles Converse Theorem

• D) Vertical Angle Theorem

Tags

CCSS.8.G.A.5

Which missing reasons correctly complete the proof?

• (2) Corresponding Angles Theorem, (7) Substitution Property of Equality

• (2) Same-Side Interior Angles Theorem, (7) Substitution Property of Equality

• (2) Corresponding Angles Theorem, (7) Definition of supplementary angles

• (2) Same-Side Interior Angles Theorem, (7) Definition of supplementary angles

Tags

CCSS.8.G.A.5

Which of the following statements is false?

• A) Vertical angles are always congruent.

• B) When a pair of lines is cut by a transversal, the corresponding angles are always congruent.

• C) Inscribed angles that intercept the same arc are always congruent.

• D) All right angles are congruent.

Tags

CCSS.8.G.A.5

Which missing reasons correctly complete the proof? Statements: 1) ℓ ∥ m 2) ∠2 ≅ ∠6 3) ∠8 ≅ ∠6 4) ∠2 ≅ ∠8

• (2) Corresponding Angles Theorem, (3) Transitive Property of Congruence

• (2) Same-Side Interior Angles Theorem, (3) Vertical Angle Theorem

• (2) Corresponding Angles Theorem, (3) Vertical Angle Theorem

• (2) Same-Side Interior Angles Theorem, (3) Transitive Property of Congruence

Tags

CCSS.8.G.A.5

Describe the difference between a postulate and a theorem.

• A postulate is proven, a theorem is assumed.

• A postulate is assumed, a theorem is proven.

• Both are assumed without proof.

• Both are proven statements.

State the Perpendicular/Parallel Line Theorem.

• The Perpendicular/Parallel Line Theorem states that if two lines are perpendicular to the same line, they are parallel to each other.

• The Parallel Line Theorem states that if two lines are parallel to the same line, they are perpendicular to each other.

• The Perpendicular Line Theorem states that if two lines are parallel to the same line, they are parallel to each other.

• The Parallel Line Theorem states that if two lines are perpendicular to the same line, they are parallel to each other.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

In the figure, the measure of angle 8 is 74°. Which angle needs to be equal to 106° for lines n and m to be parallel by the Same-Side Exterior Angles Converse Theorem? Angle _______

• Angle 1

• Angle 5

• Angle 2

• Angle 7

Tags

CCSS.8.G.A.5

In the figure, solve for x if the angle measures are given as 67° and (3x + 2)°. What is the value of x?

• 12

• 23

• 44

• 7

Tags

CCSS.7.G.B.5

What is the measure of x?

• 7°

• 67°

• 10°

• 90°

Tags

TEKS.MATH.7.11C