ANGLE RELATIONSHIPS
MIDPOINT FORMULA
Distance Formula
SLOPE FORMULA
PARALLEL, TRANSVERSAL, and PERPENDICULAR LINES
Final Jeopardy
100
Supplementary angles has to do what?
They have to add to 180 degrees
100
What is the Midpoint Formula?
((x_1 + x_2)/2, (y_1+y_2)/2)
100
What is the Distance Formula?
sqrt((x_2-x_1)^2 +(y_2 - y_1)^2
100
What is the Slope Formula
(y_2-y_1)/(x_2-x_1)
100
These lines have the same slope but never intersect.
Parallel Lines
200
Find X
x=65
200
Find the midpoint of
(8,9) and (0,1)
(4,5)
200
Find the distance between the two points
9.4
sqrt(89)
200
Find the slope of (6,-4) and (-3, 17)
m = -7/3
200
This term describes a line that crosses two or more other lines at distinct points, often used in problems involving parallel lines.
Transversal Lines
300
Find X
X = 12
300
Find the midpoint of
(-12, -17) and (14, 5)
(2, -6)
300
Find the distance between (4,9) and (2,-3)
sqrt(148)
12.2
300
Find the slope of (9,0) and (-12,0)
Zero slope
300
Two angles formed by a transversal cutting through parallel lines are called this type of angle if they are on the same side of the transversal and inside the parallel lines.
Same-Side interior angles
400
The two measures of complementary angles are 7x +17 and 3x - 20. Find the measure of the two angles
82.1 and 7.9
400
Find the midpoint
(-1, -1/2)
400
Find the distance between (2,-3) and (9,0)
sqrt58
7.6
400
Find the slope of (7,9) and (7,18)
Undefined Slope
400
These angles are formed when a transversal intersects two parallel lines and are located on opposite sides of the transversal but inside the parallel lines.
Alternate Interior Angles
500
Find X and Y
X = 46 and Y = 18
500
Find the other Endpoint if one endpoint is (9,5) and the midpoint is (-1, 6)
(-11, 7)
500
Find the value of the variable and YZ if Y is in between X and Z.
When XY = 11, YZ = 4x and XZ= 83
x = 18
YZ= 72
500
A line passing through points (1,4) and (x,8) has a slope of 2. This is the value of x.
x = 3
500
This theorem states that if two parallel lines are cut by a transversal, then the sum of the measures of the interior angles on the same side of the transversal is equal to this degree measure
180 degrees
500
A pair of parallel bike paths runs alongside a road. A sign is placed at one intersection where a road sign is being installed. The angle between the sign and the first bike path is represented as 6x+12 degrees. The angle between the sign and the second bike path, which is on the opposite side of the road and is represented as 4x+48 degrees.
If these two angles are equal due to the parallel nature of the bike paths, what is the value of x?
x = 18