Cartesian Grid

Distance as Radical Between Coordinates (Angle) (Level 1)

This math topic focuses on calculating the distance between pairs of points on a Cartesian grid. Throughout the problems, students are presented with coordinates for two points and must find the Euclidean distance between them, typically displayed as a radical (square root). The problems test the student's ability to accurately apply the distance formula, which involves the use of square roots and differences between corresponding coordinates. This is a foundational skill in geometry, particularly in understanding spatial relationships and vector distances.

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:} (0,1) \\ \text{Point B:} (5,4)
a A LaTex expression showing square root of 55
b A LaTex expression showing square root of 40
c A LaTex expression showing square root of 28
d A LaTex expression showing square root of 52
e A LaTex expression showing square root of 34
f A LaTex expression showing square root of 46
2
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (1,1) \\ \text{Point B:} (5,5)
a A LaTex expression showing square root of 11
b A LaTex expression showing square root of 17
c A LaTex expression showing square root of 32
d A LaTex expression showing square root of 29
e A LaTex expression showing square root of 35
f A LaTex expression showing square root of 26
3
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (2,2) \\ \text{Point B:} (5,5)
a A LaTex expression showing square root of 18
b A LaTex expression showing square root of 25
c A LaTex expression showing square root of 22
d A LaTex expression showing square root of 9
e A LaTex expression showing square root of 10
f A LaTex expression showing square root of 19
4
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,3) \\ \text{Point B:} (2,5)
a A LaTex expression showing square root of 10
b A LaTex expression showing square root of 3
c A LaTex expression showing square root of 8
d A LaTex expression showing square root of 11
e A LaTex expression showing square root of 1
f A LaTex expression showing square root of 7
5
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (1,0) \\ \text{Point B:} (3,1)
a A LaTex expression showing square root of 14
b A LaTex expression showing square root of 5
c A LaTex expression showing square root of 6
d A LaTex expression showing square root of 3
e A LaTex expression showing square root of 7
f A LaTex expression showing square root of 11
6
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,0) \\ \text{Point B:} (5,1)
a A LaTex expression showing square root of 12
b A LaTex expression showing square root of 30
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 16
f A LaTex expression showing square root of 44
7
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (2,2) \\ \text{Point B:} (5,3)
a A LaTex expression showing square root of 1
b A LaTex expression showing square root of 17
c A LaTex expression showing square root of 4
d A LaTex expression showing square root of 8
e A LaTex expression showing square root of 5
f A LaTex expression showing square root of 10
8
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,4) \\ \text{Point B:} (3,5)
a A LaTex expression showing square root of 10
b A LaTex expression showing square root of 8
c A LaTex expression showing square root of 4
d A LaTex expression showing square root of 16
e A LaTex expression showing square root of 6
f A LaTex expression showing square root of 12