1-7 HW Key - Problems and answers PDF

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Problems and answers ...

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Name

1-7

Class

Date

Practice

Form G

Midpoint and Distance in the Coordinate Plane

Find the coordinate of the midpoint of the segment with the given endpoints. 2. 27 and 4 223

1. 3 and 5 4

3. 5 and 29 22

4. 26 and 210 28

Find the coordinates of the midpoint of AB. 5. A(6, 7), B(4, 3) (5, 5)

6. A(21, 5), B(2, 23) (12, 1)

1 7. A(14, 22), B(7, 28) (10 2, 25)

1 8. A(0, 0), B(25, 12) (22 2, 6)

1 10. A(2 , 21 ), B(341, 21) (2 78, 285 ) 2 4

9. A(2.8, 1.1), B(23.4, 5.7) (20.3, 3.4)

The coordinates of point Y are given. The midpoint of XY is (3, 25). Find the coordinates of point X. 11. Y(0, 2) (6, 212)

12. Y(210, 5) (16, 215)

13. Y(7, 1) (21, 211)

14. Y(4, 28) (2, 22)

15. Y(21, 29) (7, 21)

16. Y(2.5, 26.5) (3.5, 23.5)

Find the distance between each pair of points. If necessary, round to the nearest tenth. 17. A(6, 7), B(21, 7) 7

18. C(5, 25), D(5, 3) 8

19. E(21, 0), F(12, 0) 13

20. Q(2, 26), T(10, 0) 10

21. H(20, 24), I(24, 3) 25

22. J(25, 5), K(23, 22) 7.3

The 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 6 ft 3 3 ft

10

24. length and width of the table 2.8 ft 3 2.8 ft

8

25. length and width of the bed 7.1 ft 3 5.7 ft

6

26. Reasoning The midpoint of AB is on the

4

y-axis, and AB is parallel to the x-axis. Point A is located in Quadrant III. Which quadrant contains point B? Explain. 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.

y Table Bed

2

Dresser

x 0

2

4

6

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