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Module 7 Extra Credit

Total questions: 28

Worksheet time: 2hrs 47mins

Name
Class
Date
1.

True or False: The Pythagorean Theorem can be used to solve acute or obtuse triangles.

a)

True

b)

False

2.
Name the longest side of a right triangle.
a)
leg a
b)
leg b
c)
leg 
d)
hypotenuse
3.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
4.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
5.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

6.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
7.
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
8.

A triangle has sides that are 3 cm, 4 cm and 5 cm.


Using what you know about the Pythagorean Theorem, which statement could be true?

a)

These are measurements for a right triangles

b)

These are NOT measurements for a right triangles

9.
If three sides of a right triangle are 50, 40, and 30, which side is the hypotenuse?
a)
50
b)
40
c)
30
10.
If three sides of a right triangle are 12, 13, and 5, which side is the hypotenuse?
a)
12
b)
13
c)
5
11.

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

a)

Yes

b)

No

12.

Do these side lengths form a right triangle?

13, 80, and 81?

a)

yes

b)

no

13.

Find the distance between the points (5, 7) and (-2, -2).

a)

5.7

b)

5.8

c)

8.6

d)

11.4

14.

What is the distance between (-3, 2) and (5, -1)

a)

11

b)

8.5

c)

1.7

d)

7.3

15.

Find the distance between (0, 10) and (12, 1).

a)

12

b)

11

c)

15

d)

16

16.

Rectangle JKLM is shown. To the nearest tenth, what is the distance from J to L?

a)

5.0 cm

b)

10.2 cm

c)

15.3 cm

d)

21.0 cm

17.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
18.

A 13 ft ladder touches a wall 12 feet above the ground. What is the distance from the wall to the base of the ladder?

a)

5

b)

√169

c)

√12

d)

6

19.

The dimensions of a flatscreen television are 15 in and 20 in. What is the length of the diagonal across the TV?

a)

√144in

b)

√125 in

c)

25in

d)

35in

20.

Study the figure below, which illustrates a dilemma facing the Gainesville City Council. They are going to build a footbridge connecting City Hall to the Municipal Outhouse, because a number of citizens have perished while crossing Big Swamp. The distance from the Court House directly south to City Hall is 1440 feet, and the distance from the Court House directly west to the Municipal Outhouse is 1512 feet. Find the cost of the footbridge, assuming that such a structure costs $21 per foot.

a)

$43,848

b)

$54,810

c)

$61,992

d)

$65,772

21.
What is the height of the cone? 
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
22.
What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.
a)
2 units
b)
6 units
c)
100 units
d)
32 units
23.
A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 
a)
31.3
b)
32.3
c)
33.3
d)
64
24.
What is the approximate length of the red line?
a)
18
b)
30
c)
5.478
d)
6.16
25.
What is the distance from the base of the house to the base of the ladder?
a)
25 m
b)
5 m 
c)
313 m 
d)
17.7 m
26.
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
27.
Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?
a)
60 feet
b)
20 feet
c)
180 feet
28.
Which equation is modeled by the picture shown?
a)
32+52=42
b)
32+42=52
c)
52+42=32
d)
92+162=252

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