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Cartesian Grid

Distance as Radical Between Coordinates (Angle) (Level 2)

This math topic focuses on calculating the distance between two points given in Cartesian coordinates. The problems involve finding the distance using the distance formula, where the distance is represented as the square root of the sum of the squares of the differences between corresponding coordinates. Each question presents a pair of points and multiple choice answers denoting different square root values, from which the correct distance needs to be selected. This helps to reinforce understanding of the Cartesian grid and the application of the distance formula in geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cartesian Grid - Distance as Radical Between Coordinates (Angle) Worksheet

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Cartesian Grid - Distance as Radical Between Coordinates (Angle)
1
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (1,1) \\ \text{Point B:} (3,2)
a A LaTex expression showing square root of 9
b A LaTex expression showing square root of 4
c A LaTex expression showing square root of 3
d A LaTex expression showing square root of 12
e A LaTex expression showing square root of 6
f A LaTex expression showing square root of 5
2
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-1,0) \\ \text{Point B:} (2,3)
a A LaTex expression showing square root of 11
b A LaTex expression showing square root of 18
c A LaTex expression showing square root of 25
d A LaTex expression showing square root of 13
e A LaTex expression showing square root of 20
f A LaTex expression showing square root of 17
3
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-1,1) \\ \text{Point B:} (3,5)
a A LaTex expression showing square root of 5
b A LaTex expression showing square root of 50
c A LaTex expression showing square root of 26
d A LaTex expression showing square root of 8
e A LaTex expression showing square root of 32
f A LaTex expression showing square root of 38
4
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-3,1) \\ \text{Point B:} (0,3)
a A LaTex expression showing square root of 7
b A LaTex expression showing square root of 13
c A LaTex expression showing square root of 12
d A LaTex expression showing square root of 4
e A LaTex expression showing square root of 5
f A LaTex expression showing square root of 20
5
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-3,2) \\ \text{Point B:} (3,4)
a A LaTex expression showing square root of 40
b A LaTex expression showing square root of 44
c A LaTex expression showing square root of 28
d A LaTex expression showing square root of 36
e A LaTex expression showing square root of 4
f A LaTex expression showing square root of 48
6
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-1,3) \\ \text{Point B:} (1,5)
a A LaTex expression showing square root of 9
b A LaTex expression showing square root of 17
c A LaTex expression showing square root of 7
d A LaTex expression showing square root of 15
e A LaTex expression showing square root of 12
f A LaTex expression showing square root of 8
7
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (1,-2) \\ \text{Point B:} (3,1)
a A LaTex expression showing square root of 18
b A LaTex expression showing square root of 3
c A LaTex expression showing square root of 22
d A LaTex expression showing square root of 13
e A LaTex expression showing square root of 14
f A LaTex expression showing square root of 15
8
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-2,0) \\ \text{Point B:} (2,4)
a A LaTex expression showing square root of 44
b A LaTex expression showing square root of 14
c A LaTex expression showing square root of 26
d A LaTex expression showing square root of 50
e A LaTex expression showing square root of 32
f A LaTex expression showing square root of 56