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# Coordinate Geometry Worksheet: Distances (3 Pages)

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1 a. Plot triangle ABC with the following vertices:

 A (3,8) C (9,4) B (3,4)    1 b. What is the unit distance AB? 4

1 c. What is the unit distance BC? 6

2 a. Plot triangle PQR with the following vertices:

 P (1,3) R (4,10) Q (4,3)    2 b. What is the unit distance QR? 7

2 c. What is the unit distance PQ? 3

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3 a. Plot the quadrilateral ABCD with the following vertices:

 A (2,8) C (6,5) B (2,5) D (8,10)    3 b. What is the unit distance AB? 3

3 c. What is the unit distance BC? 4

4 a. Plot quadrilateral EFGH with the following vertices:

 E (-3,2) G (4,-2) F (-4,-2) H (3,2)    4 b. What is the unit distance EH? 6

4 c. What is the unit distance FG? 8

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Triangle DEF has the following vertices:

 D (1,3) F (9,8) E (9,3)

 5 a. What is the unit distance DE? 85 b. What is the unit distance EF? 5 If you want you can plot the vertices to help find the distances.  5. A builder has bought a plot of land on which he will build a house. The plot is rectangular and the corners have the following coordinates in meters.

 (50,90) (70,60) (50,60) (70,90)

What is the area of the plot of land? 30m x 20m = 600m2 —— Note: The Information below this point will not be sent to your printer ——–

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Solve real-world and mathematical problems involving area, surface area, and volume