Lines Cut by a Transversal Answers

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Which best describes the relationship between the 125° angle and angle A?

A
They are same side interior angles. Angle A measures 55°.
B
They are alternate interior angles. Angle A measures 125°.
C
They are vertical angles. Angle A measures 125°.
D
They are corresponding angles. Angle A measures 55°.
109955

Which statements could complete the proof?

Answers:
A::Angle 2 is congruent to angle 3.
B::Angle 3 is congruent to angle 7.
109956

X Angle 3 is congruent to angle 6. ✔ Angle 3 is congruent to angle 7. Angle 6 is congruent to angle 7. Angle 4 is congruent to angle 5.

A
X Angle 3 is congruent to angle 6.
B
✔ Angle 3 is congruent to angle 7.
C
Angle 6 is congruent to angle 7.
D
Angle 4 is congruent to angle 5.
109965

Use the drop-down menus to complete the proof.

Answers:
Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are su:corresponding angles theorem
Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are su:linear pair postulate
Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are su:definition of supplementary angles
109966

definition of a linear pairdefinition of supplementary angles ✔ linear pair postulatevertical angles theorem

A
definition of a linear pair
B
definition of supplementary angles
C
✔ linear pair postulate
D
vertical angles theorem
109967

congruent supplements theoremdefinition of a linear pair✔ definition of supplementary angleslinear pair postulate

A
congruent supplements theorem
B
definition of a linear pair
C
✔ definition of supplementary angles
D
linear pair postulate
109968

⇒ 95

Answer:

125

109969

Use the drop-down menus to complete the proof.

Answers:
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:vertical
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:corresponding
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:transitive property
109970

vertical ✔ corresponding alternate interior alternate exterior

A
vertical
B
✔ corresponding
C
alternate interior
D
alternate exterior
109971

symmetric property definition of substitution ✔ transitive property corresponding angles postulate

A
symmetric property
B
definition of substitution
C
✔ transitive property
D
corresponding angles postulate
109973

In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

A
m∠1 = 60°
B
m∠13 = 80°
C
m∠6 = 80°
D
m∠5 = 60°
E
m∠10 = 120°
F
m∠ 14 = 100°
109974

✔ vertical corresponding alternate interior alternate exterior

Answers:
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:vertical
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:corresponding
Use the drop-down menus to complete the paragraph proof showing that alternate interior angles are congruent. We know that lines a and b are parallel and that line c is a transversal because that is g:transitive property

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