Download Chapter 9 Quizzes

Geometry 2 Right Triangles Quiz A
Name:____________________________________
B
1.
3.
12.3m
h = _____
7.6 m
h
D
A
16 12

20 ?
14.6 m
? = _____
C
Complete and solve the proportion.
16
20
12
a
b
2.
Complete and solve the proportion.
4.
x=______
x
6
5.
_______
x ?

11 x
10
x
8
3
Solve:
x2 3

x
8
Geometry 2 Right Triangles Quiz B
1. ______
Name:____________________________________
Find the length of the leg of a right triangle with a hypotenuse of 6 and one leg of length 4.
Give an approximation to 3 decimal places.
Solve for b.
(5 3 ) 2  b 2  100
2. b=____
Choose the set that is a Pythagorean triple.
3. ______
4.
[A] 12, 5, 13
[B] 5, 10, 15
[C] 5, 6, 7
[D] 1, 1, 2
The length of the diagonal of a square is 20. What is the length of each side? Draw a picture
and label all parts; then solve the problem.
Side length =
_______
5.
Picture:
Altitude: _______
Find the altitude of an isosceles triangle with base 8 and congruent sides of length 6. Draw
a picture and label all parts; then solve the problem.
Geometry 2 Right Triangles Quiz C
1.
_______
2.
_______ &
Name:____________________________________
Determine whether the numbers represent the lengths of the sides of an acute triangle, a right
triangle, an obtuse triangle, or no triangle.
5, 6, 7
A ship steamed 10 km in one direction, turned and steamed 12 km in another direction, and then
returned 18 km back to its original position. The captain then drew the ship’s course on a nautical
chart and she saw that the ship’s path was a triangle. Was it an acute, obtuse, or right triangle?
Was the path scalene, isosceles, or equilateral?
__________
3.
_______
Determine whether the numbers represent the lengths of the sides of an acute triangle, a right
triangle, an obtuse triangle, or no triangle.
4, 4, 4
Geometry 2 Right Triangles Quiz D
1.
Name:____________________________________
A baseball “diamond” is a square with a side length of 90 feet. How far is the throw from third base
to first base? (Round your answer to one decimal place.)
_______
2.
_______
The shorter leg of a 30-60-90 triangle is 9 feet
3.
x=
_______
Find the value of x and y .
10
8
x
y=
_______
long. Find the perimeter.
45°
30°
y
4.
The altitude of an equilateral triangle is 10. What is the length of each side?
Geometry 2 Right Triangles Quiz E
1.
_______
2.
sin P =
_______
cos P =
_______
Name:____________________________________
Find the missing angle and side measures of  ABC, given that  A = 35  ,  C = 90  ,
and CB = 15.
Find sin P, cos P, tan P.
2010
12
6
16
P
tan P =
________
3.
Use your calculator or Table of Trigonometric Ratios to determine cos 48° to 4 decimal places.
________
4.
Solve for x to the nearest degree.
_______
8
6
7
x°
5.
17
A slide 4.4 m long makes an angle of 21  with the ground. How high is the top of the slide above
the ground?
________
Use the diagram below; fill in numbers and solve.
Geometry 2 Right Triangles Quiz F
Name:____________________________________
Given: PQ || BC . Find the length of AP .
A
1._____
6
P
Q
8
2.
__________
3.
12
B
Which of the following is a proportion?
12 4
grams

[D]
3 1
cubic cm
If two polygons are similar, then the corresponding angles must be _____.
[A] XY = AB
[B] A is to B
[C]
C