Parallel Lines
More Parallel Lines They Said!
Theorems
Slopes with Parallel Lines
Potpourri
100
What is the measure of ∠B?
∠B=82°
100
∠D=64°
100
Names of the postulate that would helps prove that these angles are the same.
Corresponding Angles Postulate
100
Parallel lines have the __ slope.
The same slope.
100
Simplify the expression:
(5+2^2)*10-10
80
200
∠A=98°
200
Name all the congruent angles with ∠7.
∠2, ∠3, and ∠6
200
Names of the theorem that would prove these angles are the same.
Alternate Exterior Angles Theorem
200
Slope of a line parallel to the line y = -5x+6
m = -5
200
The length of the hypotenuse on the triangle below
10 units
300
Name all the congruent angles with ∠8.
∠1, ∠5, and ∠4
300
If m∠1 = 38, this is the value of m∠8
38 degrees
300
Names of the theorem that would prove these angles are supplementary.
Same-Side Interior Angles Theorem
300
The slope in the equation 5x + 3y = 5
m=-5/3
300
Mrs. Miller sells bread to customers at $16 each. She begins with $90 in the cash register. She wants $538 in the register by the end of the day.
How many loaves of bread does she need to sell?
28 loaves of bread need to be sold
400
What is the value of x?
x=6
400
The value of the variable x that will show that line m is parallel to line r
x=20
400
Alternate Interior Angles Theorem
400
The slope of a line that passes through the points (0,4) and (6,6)
m=1/3
400
Solve the variable x:
5x + 5 - 2x = 4 + 3x + 6
No Solution is possible
500
List all the angles NOT congruent to ∠5?
∠2, ∠3, ∠6 and ∠7
500
If m∠5 = 42, this is the value of m∠2
138 degrees
500
If you were asked to prove that ∠1 ≅ ∠8, and you were given that line r is parallel to line s, which of the following relationships would be important to the proof and why?
A. ∠1≅∠6 because of the same-side interior angles postulate
B. ∠1≅∠6 because of the corresponding angles theorem
C. ∠6 is supplementary to ∠8 because they form a linear pair.
D. ∠1 is supplementary to ∠6 because they are corresponding angles.
B. ∠1≅∠6 because of the corresponding angles theorem
500
Which of the following lines is parallel to the graph of y = -6x + 3 and goes through the point (-1,4)?
A. y=1/6x +25/6
B. y = 1/6x + 4
C. y = -6x - 2
D. y = -6x + 4
y = -6x - 2
500
Solve for x:
(x/a) +g=8
x= a(8 - g)