Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 37
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46Tell whether a triangle with the given side lengths is a right triangle.
—
—
—
—
—
19. √
20. 4, √
21. √
18 , √
24 , √
63 , 9, 12
15 , 6
42
Plot the points (− 1, 3), (4, − 2), and (1, − 5) in a coordinate plane.
22.
REASONING
Are the points the vertices of a right triangle? Explain.
y
60
Car
(10, 50)
50
23.
GEOCACHING
You spend the day looking for hidden
40
containers in a wooded area using a Global Positioning
30
d
3
System (GPS). You park your car on the side of the road,
20
d
1
10
and then locate Container 1 and Container 2 before going
(80,
10)
back to the car. Does your path form a right triangle?
Container 1
10
90
x
Explain. Each unit of the grid represents 10 yards.
Container 2
d
2
(20,
20)
24.
REASONING
Your teacher wants the class to fi nd the distance between
the two points (2, 4) and (9, 7). You use (2, 4) for (x
, y
), and your friend
1
1
uses (9, 7) for (x
, y
). Do you and your friend obtain the same result?
1
1
Justify your answer.
25.
AIRPORT
Which plane is closer to the base of the airport tower? Explain.
Altitude:
Plane A
20,000 ft
Airport
Altitude:
Plane B
8000 ft
5 km
2 km
Not drawn to scale
y
(x
, y
)
2
2
26.
Consider the two points (x
, y
) and
1
1
(x
, y
) in the coordinate plane. How can you fi nd the
2
2
(x
, y
)
point (x
, y
) located in the middle of the two given
m
m
y
y
m
m
2
1
points? Justify your answer using the distance formula.
(x
, y
)
1
1
x
x
2
1
x
Find the mean, median, and mode of the data.
(Skills Review Handbook)
27. 12, 9, 17, 15, 12, 13
28. 21, 32, 16, 27, 22, 19, 10
29. 67, 59, 34, 71, 59
30.
MULTIPLE CHOICE
What is the sum of the interior angle measures of
an octagon?
(Section 3.3)
○
○
○
○
720°
1080°
1440°
1800°
A
B
C
D
Section 7.5
Using the Pythagorean Theorem
323
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