Module 4 Review

Pythagorean Theorem/Similar Triangles

100

What is the Pythagorean Theorem?

a²+b²=c²

200

Classify the parts of the triangle for each variable in the Pythagorean Theorem. 

a & b = legs

c = hypotenuse

300

State one triangle that is similar to triangle JKL.

JMK
KML

400

Find the hypotenuse of a right triangle with legs equaling 15 and 20.

25 

500

To the nearest hundredth, find the missing leg of a right trianlge with one leg equaling 13 and the hypotenuse equaling 18. 

12.45

Geometric Mean/Special Right Triangles

100

What are the two types of special right triangles?

45-45-90

30-60-90

200

Find the geometric mean between 6 and 12.

6 square root 2

300

Using your knowledge of 45-45-90 triangles, what is tan45?

1

400

Using your knowledge of a 30-60-90 triangle, what is sin60?

square root 3 over 2

500

Find the value of y.

2 square root 3

Trigonometry

100

What are the three trigonometric functions?

Sine

Consine

Tangent

200

State the ratios for each trigonometric function. 

Sine = opposite over hypotenuse

Cosine = adjacent over hypotensue

Tangent = oppositve over adjacent

300

State cosine A as a simplified fraction and a decimal. 

3 over 5

0.60

400

In triangle ABC, A is the right angle, BC = 9, and AC = 7. Find the measure of angle B to the nearest degree. 

51

500

Paula stands 8.2 feet away from a tower. She sights the top of the tower at an angle of elevation of 43 degrees. She is 5.5 feet tall. How tall is the tower? Round to the nearest hundredth.

13.15 feet

Law of Sines/Cosines

100

What type of triangle are you solving when using Law of Sines and Law of Cosines?

any non-right triangle

200

What can law of cosines find that law of sines does not find?

Angle measure

300

Find side length a to the nearest tenth. 

2.8

400

Find angle E to the nearest degree. 

48

500

Find side length a to the nearest tenth. 

5.4