Conceptual
Is the following statement Always true, Sometimes true, or Never true? Complementary angles are adjacent.
Sometimes true
Two angles are vertical angles. The measure of one angle is 45 degrees, what is the measure of the other angle?
45 degrees
The name of the relationship where the measure of two angles sums to 90 degrees
What are complementary angles
Two angles are complementary. The measure of one angle is 67 degrees, what is the measure of the other angle?
23 degrees
(3/5)x-6=24
x=50
When can supplementary angles be congruent
Two angles are supplementary. The measure of one angle is (2x+12) and the measure of the other angle is 4x. What is the value of x?
28
The name of the relationship where the measure of two angles sums to 180 degrees
What are supplementary angles
Find the measure of two angles that are supplementary, and the measure of one angle is two times the measure of the other angle
60 and 180
What is the slope of a line that goes through points (7, 3) and (6, 9)
m=-6
Prove the triangle sum theorem
If a line parallel to one side of the triangle is placed at the vertex of the opposite side, a linear triple will be formed that adds up to 180 degrees
The side lengths of a triangle are 3, 8 and (x+4). What values can x not be?
5<x<11
Angles that are opposite each other at the intersection of two lines
What are vertical angles
Three angles are at a point (They share the same vertex). The second angle is 20 degrees more than the first, and the third angle is 20 degrees more than the second angle. Find the measurement of all three angles. The angles add up to 360 degrees.
100, 120, 140
-32-8n < 3(8-5n)
n<8
The maximum amount of different angle measures that can be formed when a transversal intersects parallel lines
two
The exterior angle of a triangle is defined as x. The non adjacent interior angles are 32 and 46. What is the value of x?
102
The theorem that states the sum of three angle measures within a triangle add to 180 degrees
What is triangle sum theorem
Find the measure of two angles that are complementary, and the measure of one angle is 14 more than the measure of the other angle.
38 and 52
For every 3 Tesla vehicles sold, there were 11 other types of vehicles. If there are 154 total vehicles for sale at a dealership, how many Tesla and other types of vehicles are there?
33 Teslas and 121 other cars
What is the parameter for side lengths of a triangle?
The sum of the lengths of any two sides of the triangle has to be longer than the length of the third side.
The measures of the angles inside a triangle are represented by 5x, (2x+20), and 3x. What is the value of x
16
The angle relationships in which the pair of angles are always congruent
What are alternate interior angles, alternate exterior angles, vertical angles, and corresponding angles.
A scalene triangle has a side measuring 12cm and 15cm. What is the shortest and longest (in whole units) that the third side could be?
4cm and 26cm
Kareem bought some Pepsi from Costco. Kareem spent $20 on the Pepsi. Costco had marked up the price of the Pepsi to their customers by 25%. What was the original price of the Pepsi before the mark-up?
$16