A Parallel Universe (1)
A Parallel Universe (2)
Hit the Slopes!
Make It an Equation
Show Me the Proof
100
Define, draw, and symbolize parallel lines.
Coplanar lines that do not intersect, in which every point is equidistant.
100
What is the relationship between
angle 2 and angle 6
Corresponding angles
100
What is slope written as a ratio?
(rise) / (run)
100
Convert this equation from standard form to slope-intercept form:
-3x + 12y = 4
y = 1/4 x + 1/3
100
What justifies step 2?
Given: 2(5 - 3a) - 4(a + 7) = 92
Prove: a = -11
2(5 - 3a) - 4(a + 7) = 92 Given
10 - 6a - 4a - 28 = 92
-10a -18 = 92 Substitution Prop.
-10a = 110 Additive Prop.
a = -11 Division Prop.
Distributive Property
200
What angles are on the interior?
angle 3, angle 4, angle 5, angle 6
200
What is the relationships between
angle 1 and angle 4
Linear Pair
200
Find the slope given 2 points at (-2, 4) and (4, 3)
m = -1/6
200
What is the equation of the line given a slope of
2/5
through point (15, -8)
y = 2/5 x - 14
200
What justifies step 5?
Given: 4(x + y) = 48
y = 6
Prove: x = 6
4(x + y) = 48 Given
y = 6 Given
4(x + 6) = 48 Substitution Prop.
4x + 24 = 48 Distributive Prop.
4x = 24
6. x = 6 Division Prop.
Subtraction Property
300
What angles are on the exterior?
angle 1, angle 2, angle 7, angle 8
300
What is the measure of
angle 6 if angle 4
is 32 degrees? Which postulate proves this?
32 degrees. Alternate interior angle.
300
What is the slope of this line?
Undefined
300
What is the equation of a line that passes through (2, -5) and is parallel to the equation y =
5x - 9
y = 5x - 15
300
What justifies step 3?
Third Angle Theorem
400
What is the line called that intersects 2 coplanar lines?
Transversal
400
What is the value of x? Which postulate proves your answer?
x = 54 degrees
Vertical, same side exterior.
corresponding, linear pairs.
400
What is the slope of the line that is through the point (6, -7) and parallel to y =
1/3 x + 6
m = 1/3
400
What is the equation of the line that passes through the point (6, -4) and is perpendicular to the equation y =
2/3 x + 12
y = -3/2 x + 5
400
What justifies step 6?
Substitution Property
500
What angles are obtuse vertical angles?
angle 1 and angle 3, angle 5 and angle 7
500
m angle FLI = 112 degrees
500
What is the slope of the line perpendicular to the equation
y = -5/3 x - 4
m = 3/5
500
What is the equation of the line that passes through the point (-9, 5) and is perpendicular to the equation y =
3/4 x + 12
y = -4/3 x - 7
500
What justifies step 4?
Interior Angle Theorem