Angle/Line Relationships
Angles across from each other and are equal
Vertical Angles
All angles in a triangle add up to this
180 degrees
If a map has a scale of 1 inch = 10 miles, how many miles is 3 inches?
30 miles
The number of edges on a rectangular prism.
12
Look at the board, find the measure of angle 3.
130 degrees
Angles that add up to a 90 degree right angle
Complementary
A triangle with all 3 angles less than 90 degrees and all 3 equal sides
Acute Equilateral
The distance between Franklin City and Williamsville on a map is 3.2 inches. If the scale of the map is 1inch = 15 miles, how many miles apart are the two cities?
48
The number of faces on a triangular pyramid.
4
On the board, what is the measure of x?
112 degrees
Angles that add up to 180 degrees and form a straight line
Supplementary Angles
A triangle with one angle greater than 90 degrees and two equal sides
Obtuse Isosceles
If a rectangle in a scale drawing has dimensions 4 cm by 6 cm and the scale is 1:50, what are the actual dimensions?
200 cm by 300 cm
The number of vertices on a rectangular prism
8
Look at the board, what is the measure of x?
68 degrees
A line that cuts through a set of parallel lines and forms 8 angles.
Transversal
A triangle with one 90 degree angle and no equal sides
Right Scalene
Sam is tiling his shower floor. A blueprint shows that the scale is 1 inch = 3 feet. If the tile costs $7.99 per square foot, how much will it cost to tile the bathroom if the dimensions on the blueprint are 2 inches by 3.5 inches? Round to the nearest cent
$503.37
The result of a vertical cross section of a cylinder
rectangle
Look at the board, what is the measure of x?
18 degrees
Angles that are in the same position and are equal
Corresponding
If two angles of a triangle are 50 degrees and 70 degrees, what is the measure of the third angle?
60 degrees
Brayden is drawing a plan for his bedroom. The blueprint of the bedroom uses a scale of 1 inch = 4 feet. Determine the costs of the flooring material if the cost per square foot is $8.44 and the dimensions of the plan are 4 inches by 5.25 inches.
$2835.84
The result of a horizontal cross section of a square pyramid
Square
The angles in a triangle are in a ratio of 1:2:3, what is the measure of all three angles? (Hint: all triangles are a total of 180 degrees)
30 degrees, 60, degrees, 90 degrees