CP Geometry
Name:_________________________
Period:________
Date:__________________________
Chapter 9 Test REVIEW
**You must simplify all of your radicals where applicable!**
1.
Solve for the variable.
2.
Solve for the variable.
3.
Write a similarity statement for the three similar triangles in the diagram
Then, find the given length.
Similarity Statement: _________________________________
WU = ________________
For #4-6, solve for the unknown side length. Leave answers as simplified radicals when
possible. Then, indicate whether the side lengths form a Pythagorean Triple.
4.
PT? Yes
or
No
x = _________
5.
PT? Yes
or
No
x = _________
6.
PT? Yes
or
No
x = _________
7.
How do you classify triangles as acute, right, or obtuse? What must you check first
before you can even state that it is a triangle?
8.
Find the area of the entire figure.
9.
What are the rules for a 30-60-90 triangle?
10.
What are the rules for a 45-45-90 triangle?
Solve for the variable. Write your answers in simplified radical form.
11.
12.
13.
Find the sine, cosine, and tangent values of the acute angles in the triangle. Express
each answer as a fraction and as a decimal rounded to four decimal places.
For #14-15, solve the right triangle by finding all of the missing parts.
Round decimal answers to the nearest HUNDREDTH.
14.
15.
FOR THIS PAGE…ROUND ALL DECIMALS TO THE NEAREST HUNDREDTH!!
16.
Use the figure to the right for the following problems.
a.
At 2PM the shadow of a lighthouse is 22ft long and the angle
of elevation is 72o. Find the height of the lighthouse.
b.
At 4 PM the angle of elevation of the sun is 40o.
Find the length of the shadow cast by the lighthouse.
17.
A train is traveling up a slight grade with an angle of inclination of only 2o. After
traveling 1 mile, what is the vertical change, in feet? Also, draw a picture to model this
situation.
18.
You lean a 16 foot ladder against the wall. If the base is 4 feet from the wall, what angle
does the ladder make with the ground? Also, draw a picture to model this situation.
REVIEW:
19.
Graph:
3x + 2y = - 2
You must graph at least TWO points.
20.
When looking at the equations of lines, what makes two lines parallel? What makes two
lines perpendicular?
21.
What are the ways to prove that two triangles are congruent? Draw a model for each
method.
22.
What are the ways to prove that two triangles are similar? Draw a model for each
method.