# Distances on the Coordinate Plane

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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? 8 5 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