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

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

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.

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

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.

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

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

What is the measure of x?

• 7°

• 67°

• 10°

• 90°

Tags

TEKS.MATH.7.11C