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1-7 HW Key - Problems and answers
Course: Algebra (MA 11100)
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University: Purdue University
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Prentice Hall Gold Geometry • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
63
Name Class Date
1-7 Practice Form G
Midpoint and Distance in the Coordinate Plane
Find the coordinate of the midpoint of the segment with the given endpoints.
1. 3 and 5 2. 27 and 4 3. 5 and 29 4. 26 and 210
Find the coordinates of the midpoint of AB.
5. A(6, 7), B(4, 3) 6. A(21, 5), B(2, 23)
7. A(14, 22), B(7, 28) 8. A(0, 0), B(25, 12)
9. A(2.8, 1.1), B(23.4, 5.7) 10. A(21
2, 2 1
4), B(31
4, 21)
Th e coordinates of point Y are given. Th e midpoint of XY is (3, 25). Find the
coordinates of point X.
11. Y(0, 2) 12. Y(210, 5) 13. Y(7, 1)
14. Y(4, 28) 15. Y(21, 29) 16. Y(2.5, 26.5)
Find the distance between each pair of points. If necessary, round to the
nearest tenth.
17. A(6, 7), B(21, 7) 18. C(5, 25), D(5, 3)
19. E(21, 0), F(12, 0) 20. Q(2, 26), T(10, 0)
21. H(20, 24), I(24, 3) 22. J(25, 5), K(23, 22)
Th e room shown below right is 14 ft by 10 ft. Find the dimensions of each piece
of furniture to the nearest tenth.
23. length and width of the dresser
24. length and width of the table
25. length and width of the bed
26. Reasoning Th e midpoint of AB is on the
y-axis, and AB is parallel to the x-axis. Point A
is located in Quadrant III. Which quadrant
contains point B? Explain.
x
y
2468101214
2
4
6
8
10
Bed
Table
Dresser
0
4
78
13
25
10
7.3
2.8 ft 32.8 ft
7.1 ft 35.7 ft
6 ft 33 ft
(5, 5) (1
2, 1)
(22 1
2, 6)
(2 7
8, 25
8 )
2228
(6, 212)
(2, 22)
(16, 215)
(20.3, 3.4)
(21, 211)
(7, 21) (3.5, 23.5)
23
2
(10 1
2, 25)
IV; Answers may vary. Sample: Suppose A is at
(24, 25), which is a point in Quadrant III. Then
B will be on the opposite side of the y-axis at
(4, 25) in Quadrant IV.