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)  

x-y grid 0 to +10
grid showing triangle ABC

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)  

x-y grid 0 to +10
grid showing triangle PQR

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)

x-y grid 0 to +10
coordinate grid showing quadrilateral ABCD

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)

x-y grid from -10 to 10
cooprdinate grid showing quadrilateral EFGH

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.

 

coordinate grid 0 to 10 with no lines

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

coordinate grid 100m by 100m

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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

 

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