Trigonometry
Triangle Proofs
Density
Volume and Scale
Angle Theorems
100

What is SOHCAHTOA stand for?

Sin=Opp/Hyp

Cos=Adj/Hyp

Tan=Opp/Adj


100

What is reflexive property mean?

When something reflects back on to itself.

100

What is the formula for density?

Hint:(d=density, m=mass, and v=volume.)

d=m/v

100

what is the formula for the volume of a sphere.

4/3πr3=V

100

What are alternate interior angles?

When a transversal passes through 2 parallel lines and makes 2 equal angles.

200

What is the formula for finding the hypotenuse on a right triangle?

a2 + b2 = c2

200

Can you prove a triangle is congruent with AAA theorem?

No the sides could be different lengths.

200

How is mass calculated if you have density and volume?

Volume * Density

200

Find the volume of a sphere with a radius of 5 and a height of 10.

785.4

200

What is angle F? (Hint because there's no picture its vertical angle is 124.)

124

300

Mohamed Dingle-Hopper the 3rd has a triangle room and he is trying to measure the sides. He knows the wall a is 8 and wall b is 6 find wall c with trigonometry.

10

300

What does SAS stand for?

Side-Angle-Side.

300

What is the three-dimensional space an object takes up?

Volume.

300

Find the volume of a sphere with a radius of 5.

523.6

300

What does X equal? (hint: there are two angle one is 4x+20 and the other is 6x-12 use algebra to find it.

16

400

Bob is 20 feet away from the bottom of a building and the angle of his head when he looks up at the top of the building is 40 degrees what is the height of the building? (round your answer to the nearest tenth.)

33.6 feet

400

Triangle ABC has sides 5,6,7 and Triangle DEF has sides 5,6,7 are the two triangles congruent.

Yes

400

A piece of wood has a mass of 25 kg and a volume of 0.0385

What is the density of the wood?

649kg/m3

400

Find the volume of a rectangular pyramid with a base length and width of 5 and a height of 5.

41.67

400

Find X (hint: its a supplementary angle where one of the angles is 130 solve for the other angle which is x.)

50

500

Steve is standing 120 feet away from a building and he looks at the top of the building and his head is at a 50 degree angle. There are 20 floors how tall is one floor?

7.2 feet

500

There are two triangles both have two angles which are 56 and 32. They also each have a side that is 6 inches long are they congruent?

Yes cause of ASA

500

A cylinder of lead has a diameter of 3 cm and a height of 8 cm. The density of lead is 11.4 g/cm3

Find the density.

644.3

500

Find the radius of a sphere with a volume of 69420.

25.59

500

There is a triangle with the angles 56 solve for the angle x. (hint: the triangle has the angles 56 already solve for one of the other angles then solve for x which is the lat angle in the triangle. Hint : you solve for the second angle by having a supplementary angle with and angle as 68 and another as 68 so 180-68-68 would equal the second angle in the triangle and with this info you can solve for x the last angle in the triangle.

80