Name: 
 

Quiz 11-1: Pythagorean Theorem



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

The lengths of the sides of four triangles are given. Determine which triangle is not a right triangle.
a.
5 mm, 12 mm, 13 mm
c.
4 mm, 3 mm, 5 mm
b.
4 mm, 5 mm, 10 mm
d.
10 mm, 24 mm, 26 mm
 

 2. 

How long is the lake?

mc002-1.jpg
a.
about 8 miles
c.
about 12.8 miles
b.
about 82 miles
d.
about 9 miles
 

 3. 

How high does the ladder reach?

mc003-1.jpg
a.
about 13 feet
c.
about 10.9 feet
b.
about 17 feet
d.
about 59.5 feet
 

 4. 

How far apart are Mike and Michelle?

mc004-1.jpg
a.
about 10.8 feet
c.
about 58.5 feet
b.
about 15 feet
d.
about 6.7 feet
 

 5. 

How long is the ramp?

mc005-1.jpg
a.
about 15.7 feet
c.
about 132.5 feet
b.
about 19 feet
d.
about 16.3 feet
 

 6. 

A walkway along the diagonal of a rectangular garden is 12 feet long. If the garden is 10 feet long, about how wide is the garden?

mc006-1.jpg
a.
2 feet
c.
11 feet
b.
15.6 feet
d.
6.6 feet
 

 7. 

Simplify mc007-1.jpg mc007-2.jpg
a.
mc007-3.jpg
c.
mc007-5.jpg0.09
b.
mc007-4.jpg0.9
d.
mc007-6.jpg0.009
 

 8. 

Which number is irrational?
a.
0.mc008-1.jpg
c.
0.12323...
b.
mc008-2.jpg
d.
4.163124...
 

 9. 

The legs of a right triangle have lengths of a and b. the hypotenuse has a length of c. If  a = mc009-1.jpg and c = 9, the what is the length of b?
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
1
 

 10. 

Which of the following are measures of three sides of a right triangle?
a.
4, 7, 8
c.
3, 7, 9
b.
10, 15, 20
d.
9, 12, 15
 

 11. 

What is the length of the diagonal of a rectangle whose length is 7 ft and whose width is 3mc011-1.jpg ft?
a.
mc011-2.jpg ft
c.
21mc011-4.jpg ft
b.
mc011-3.jpg ft
d.
20 ft
 

Short Answer
 

 12. 

Is a triangle with sides of length sa012-1.jpg, sa012-2.jpg and sa012-3.jpg a right triangle?
 

 13. 

How long is the road that goes directly from Briarton to Carlsville?

sa013-1.jpg
 

 14. 

How long is the ladder?

sa014-1.jpg
 

 15. 

How long is each slanted side of the roof?

sa015-1.jpg
 

 16. 

How long is the wire?

sa016-1.jpg
 

 17. 

Trea’s class is making a school flag. The design for the flag is a rectangle that is 12 inches by 8 inches. They are planning to sew a ribbon along one diagonal of the flag. How long will the piece of ribbon be?

sa017-1.jpg
 



 
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