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Geometry: section 9.1-9.2

Total questions: 20

Worksheet time: 37mins

Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
3.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
5.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
6.
In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
7.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
8.
I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
9.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
10.

 Simplify 48Simplify\ \sqrt{48}  

a)

4√2

b)

6√3

c)

4√3

d)

4√2

11.

Do the segment lengths 15, 12, and 9 form the sides of a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

12.

Do the segment lengths 20, 25, and 15 form the sides of a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

13.
Acute, right, or obtuse
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
14.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
15.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
16.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
17.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
18.

Is the triangle with 7, 9 and 13 for sides acute, right, or obtuse?

a)

acute

b)

right

c)

obtuse

19.

Divide  43\frac{4}{\sqrt{3}}  

a)

 433\frac{4\sqrt{3}}{3}  

b)

 432\frac{4\sqrt{3}}{2}  

c)

 434\sqrt{3}  

20.

What is the measure of side b?

a)

5

b)

10210\sqrt{2}

c)

525\sqrt{2}

d)

10310\sqrt{3}