Carnegie Learning Geometry

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

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

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

• Alternate Exterior Angles Theorem

• Alternate Exterior Angles Converse Theorem

• Corresponding Angles Converse Theorem

• 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?

• Vertical angles are always congruent.

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

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

• All right angles are congruent.

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

What is the measure of x?

• 7°

• 67°

• 10°

• 90°

Tags

TEKS.MATH.7.11C

Graph the line represented by the equation 2x + 2y = 6

Choose the 2 points that will make a linear graph that satisfies this equation.

Solve the following system by graphing.  What is the solution?

• (3, -2)

• (3, -3)

• (-3, 2)

• (-3, -3)

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)