Carnegie 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

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

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

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B

• Place the compass point at C

• Place the straightedge along A and C

• Place the straightedge along C and D

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A

• Measure the length of segment AB

• Draw an arc between point A and point B

• Measure half the length of line segment AB

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

• a line through P parallel to line l

• a line through P intersecting line l

• a line through P congruent to line l

• a line through P perpendicular to line l

• A
• B
• C
• D

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16