Pythagorean's Theorem
Triangle Sum Theorem
Triangle Inequality Theorem
Types of Angles
Finding Missing Angles
100
What is Pythagorean's Theorem?
a^2+b^2=c^2
100
The triangle sum theorem states that all angles in a triangle have a sum of _____________.
180 degrees
100
The triangle inequality theorem states that the sum of any two sides of a triangle must be ________________ than the third side.
greater
larger
bigger
more
100
An angle that measures exactly 180 degrees
Straight Angle
100
x=22
200
Find the missing side of a right triangle that has a leg of 5 in. and another leg of 12 in. In other words, find the hypotenuse.
hypotenuse = 13 in
200
Find the missing angle.
25 degrees
200
Will these side lengths create a triangle?
10, 2, 3
No
200
Angles that share a vertex and a side
Adjacent angles
200
These two angles are complementary. Solve for x
x=56
300
Find the missing side of a right triangle that has a leg of 9 m. and hypotenuse of 15 m. In other words, find the missing leg.
leg = 12 m
300
What is the measure of angle c ?
65 Degrees
300
Determine wether a triangle can be formed with side lengths 8cm, 10cm, and 16cm.
Yes
300
Angles that equal 90 degrees together.
Complementary Angles
300
These two angles are supplementary angles. Solve for x
x=50
400
Find the missing side of a right triangle that has a leg of 6 yd. and another leg of 9 yd. In other words, find the hypotenuse. Leave answer in simplest radical form.
hypotenuse = 3 rad(13) yd
400
What is the measure of angles d and e 
d= 65 degrees
e= 65 degrees
400
If one side of a triangle measures 23 inches and the other side 19 inches, determine possible side lengths for the third side.
4<c<42
400
Two angles that equal that 180 degrees together.
Supplementary Angles
400
Solve for x
x=85 degrees
500
Find the missing side of a right triangle that has a leg of 9 cm. and hypotenuse of 16 cm. In other words, find the missing leg. Leave answer in simplest radical form.
leg = 5 rad(7) cm
500
Solve for x
x=15
500
A triangle has side lengths 10 and 13. What are the possible side lengths for the third side?
3<c<23
500
Angles that are opposite of each other when two lines intersect.
Vertical Angles
500
Angles a and c are vertical angles. Solve for a, b, and c.
a=133 degrees
b= 47 degrees
c= 133 degrees