Theorems
Pythagorus
Lines and Angles
Volume
Grab Bag
100
What is the Triangle Sum Theorem
The angles in a triangle sum to 180 degrees.
100
The missing side of a right triangle with leg lengths of 4 cm and 7 cm.
What is 8.1 cm?
100
How many different angle measures are there in a parallel lines cut by a transversal.
Two different angle measures.
100
What is the formula for volume of a cylinder?

(pi)r2h

100

(4-2)2+(3-9)2

40
200
State the Pythagorean Theorem

In a right triangle, a2+b2=c2

where a and b are legs and c is the hypotenuse

200
The missing leg length of a right triangle with a hypotenuse of 8 inches and a leg of 6 inches.
What is 5.3 inches?
200
If angle 1 is 30 degrees what is angle 4?
150 degrees
200

What is the formula of the volume of a sphere?

4/3(pi)r3

200
What is the relationship of angle 1 and angle 7.
alternate exterior angles
300
State the External Angle Theorem
The external angle in a triangle is equal to the sum of the two remote interior angles.
300
The distance from the top of an 18-ft ladder to the ground when the bottom of the ladder is 5 ft from the side of a house.
What is 17.3 ft?
300
If angle 4 is 55 degrees, what is angle 6?
55 degrees
300

The volume of a cylinder with radius of 2 inches and a height of 3 inches. (Formula: (pi)r2h

12 pi in3

 
300
What is the relationship between angle 1 and angle 5
Corresponding Angles.
400
State the corresponding angle postulate.
When two parallel lines are cut by a transversal, the corresponding angles are congruent.
400
The distance between (-3,2) and (3, -6).
What is 10 units?
400
If angle 3 is (x+5) and angle and 5 is (2x-7) find angle 3.
17 degrees.
400

The volume of a sphere with a radius of about 3 in. (formula: 4/3(pi)r3)

36pi cubic inches.
400
Estimate the square root of 111
between 10.5 and 10.7
500
State the same side interior angles theorem
When two parallel lines are cut by a transveral, the same side interior angles are supplementary.
500
The area of a computer screen that has a diagonal length of 17 in and a height of 9 in.
What is 129.6 square inches?
500
If angle 1 is (5x-10) and angle 7 is (3x+24) what is angle 7
75 degrees
500

What is the volume of a cone with radius of 4cm and height of 10 cm (Formula: 1/3(pi)r2h)

160/3 pi cm3

500
If angle a is 60 and angle b is 60 what is angle d?
120 degrees