Pre-Algebra Chapter 9

Practice and Apply
Homework Help
For
Exercises
See
Examples
9–16 1
17, 18 2
19–28 3
Extra Practice
See page 746.
Find the distance between each pair of points. Round to the nearest tenth, if
necessary.
9. J(5, 4), K(1, 3) 10. C(7, 2), D(6, 4)
11. E(1, 2), F(9, 4) 12. V(8, 5), W(3, 5)
13. S(9, 0), T(6, 7) 14. M(0, 0), N(7, 8)
15. Q5 1 4 , 3 , R2, 6 1 2 16. A2 1 2 , 0 , B8 3 4 , 61 4
GEOMETRY Find the perimeter of each figure.
17. y
18.
X(2, 3)
y
A(4, 4)
O
Y(3, 0)
x
O
x
Z(2, 4)
C(2, 2)
B(1, 4)
The coordinates of the endpoints of a segment are given. Find the
coordinates of the midpoint of each segment.
19. y
20.
y
X(2, 3) Y(4, 3)
R(1, 4)
O
x
O
x
S(1, 3)
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21. A(6, 1), B(2, 5) 22. J(3, 5), K(7, 9)
23. M(1, 3), N(5, 7) 24. C(4, 9), D(6, 5)
25. T(10, 3), U(4, 5) 26. P(6, 11), Q(4, 3)
27. F(15, 4), G(8, 6) 28. E(12, 5), F(3, 4)
29. GEOMETRY Determine whether MNP with vertices M(3, 1),
N(3, 2), and P(6, 5) is isosceles. Explain your reasoning.
30. GEOMETRY Is ABC with vertices A(8, 4), B(2, 7), and C(0, 9)
a scalene triangle? Explain.
31. CRITICAL THINKING Suppose C(8, 9) is the midpoint of AB and the
coordinates of B are (18, 21). What are the coordinates of A?
32. WRITING IN MATH Answer the question that was posed at the beginning
of the lesson.
How is the Distance Formula related to the Pythagorean Theorem?
Include the following in your answer:
• a drawing showing how to use the Pythagorean Theorem to find the
distance between two points on the coordinate system, and
• a comparison of the expressions (x 2
x 1
) and (y 2
y 1
) with the length
of the legs of a right triangle.
Lesson 9-6 The Distance and Midpoint Formulas 469