Parallel Lines and Transversals

Given the figure, which of the following are valid?

• Angle 2 is congruent to angle 4 because they are a linear pair

• Angle 5 is supplementary to angle 2 because they are corresponding angles

• Angle 6 is supplementary to angle 3 because they are same side exterior angles

• Angle 4 is congruent to angle 6 because they are corresponding angles

• Angle 2 is congruent to angle 1 because they are alternate interior angles

Tags

CCSS.8.G.A.5

If (x,2) is the solution of x+2y=15, how do you find the value of x?

• First plug in the (x,2) to the given equation.

• 2nd solve the equation x+2(2)=15

• 3rd get x=15-4

If (x,2) is the solution of x+2y=15, what is the value of x?

The measure of the bold angle is ___________ degrees. (do not include degrees in your answer)

Tags

CCSS.8.G.A.5

The bolded angle measures _________________ degrees (do not include the units in you answer)

Tags

CCSS.8.G.A.5

The measure of the bold angle is ________________ degrees. (enter the number only. Do not enter the units)

Tags

CCSS.8.G.A.5

What is the measure of the angle with the question mark? (enter the number only, not the units.) The measure of the angle is ________________degrees.

Tags

CCSS.8.G.A.5

1. Choose the theorem that would best be used to prove the following statement, given that lines r and s are parallel and lines t and u are parallel. : If the m∠3 = 120˚, then m∠5 = 120˚

• Corresponding Angles Postulate

• Same Side Interior Angles Theorem

• Alternate Interior Angles Theorem

• Alternate Exterior Angles Theorm

• Same Side Exterior Angles Theorem

Tags

CCSS.8.G.A.5

In the proof shown, what would be reason 2?

• Corresponding Angles Postulate

• Linear Pair Postulate

• Alternate Exterior Angles Theorem

• Vertical Angles Theorem

• Angle Addition Postulate

6. Given that a || b: If the m∠1 = 4x + 2, and m∠6 = x - 7 what is the value of x? (enter the number only)

Tags

CCSS.8.G.A.5