Definitions
Transversals
Triangles
Random
100
Two angles that sum to 180 degrees
Supplementary angles
100
Measure of ∠3 if ∠1 is 106 degrees. Explain
106 degrees
The angles are vertical to one another
100
The angles in a triangle are:
∠A=54 degrees, ∠B=36 degrees
Find ∠C
∠C = 90o
100
If ∠C and ∠D are same side interior angles, ∠D measures 84.1o
Find ∠C
∠C = 95.9o
Same side interior angles are supplementary to one another
200
What makes two shapes similar?
All the angles in both shapes are congruent
The sides don't matter, only the angles in similar shapes
200
Measure of ∠5 if ∠6 is 63 degrees. Explain
117 degrees
∠5 and ∠6 are supplementary to one another. Which means they add up to 180 degrees
200
The angles in a triangle are:
∠A = 90 degrees, ∠B = x, ∠C = x + 10
Find the measure of ∠C
The sum of the three angles in any triangle equals 180 degrees
∠C = 50o
200
Name the six angle pairs that are created by a transversal
Same side interior Angles, Alternate Interior Angles
Corresponding Angles, Vertical Angles
Same Side Exterior Angles, Alternate Exterior Angles
300
Two angles that sum to 90 degrees
Complimentary angles
300
Name all the angles congruent to ∠1.
Angles 3, 5, and 7
300
Find the measure x.
x = 98 degrees
300
Find the measure of each angle in triangle XYZ
∠X = 3m + 2 degrees
∠Y = 2m
∠Z = 10m + 58 degrees
∠X = 26o
∠Y = 16o
∠Z = 138o
m = 8
400
When two lines intersect, the congruent angles opposite of each other are called...
Vertical angles
400
The measure of ∠6 is 83.4 degrees. What is the measure of ∠4 and ∠2? Explain
∠2 = 83.4o and ∠4 = 83.4o
∠4 and ∠6 are alternate exterior angles, making them congruent
∠6 and ∠2 are corresponding angles, making them congruent
400
Find the value of y
y = 15
400
If a tree casts a 36 foot shadow, and a 5 foot tall fifth grade casts a 8 foot shadow.
How tall is the tree?
Tree is 22.5 feet tall
500
The two opposite interior angles of a triangle are _____ to the exterior angle
Congruent
This is the Exterior Angle Theorem
500
Find the measure of ∠5 if ∠3 is 120 degrees. Explain how you found your answer
60 degrees.
∠3 and ∠4 are supplementary so ∠4 = 60; ∠4 and ∠5 are alternate interior angles, which are congruent.
OR
∠3 and ∠6 are alternate interior angles so ∠6= 120; ∠6 and ∠5 are supplementary angles, so ∠5=180-120
500
A triangle has interior angles that measure:
∠A = 5y + 32o
∠B = 4y
∠C = 76o
Find y and the measure of ∠A
y = 8
∠A = 72o
500
There's a building that has a shadow length of 112 feet. A student, who is 4.5 feet tall stands next to the building. If the student's shadow is 7 feet long.
Find the length of height of the building
Building height = 72 feet