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Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 4)

This math topic focuses on calculating the distance between two points on a Cartesian grid, using the Pythagorean theorem. Given pairs of coordinates, students determine the distance expressed as a radical (the square root of an integer). Each problem presents different pairs of points, and students must calculate the correct radical value for the distance. Multiple choice answers are provided, facilitating the application of distance formula skills in a structured manner. This topic also reinforces understanding of the Cartesian coordinate system and the application of Pythagorean relationships in geometry.

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

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Distance as Radical Between Coordinates (Angle)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the distance between the given (x,y) points

Point A:(−2,−2)Point B:(3,0)\text{Point A:} (-2,-2) \\ \text{Point B:} (3,0)

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

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Math worksheet on 'Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 4)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-3,-1) \\ \text{Point B:} (1,0)
a A LaTex expression showing square root of 8
b A LaTex expression showing square root of 17
c A LaTex expression showing square root of 11
d A LaTex expression showing square root of 14
e A LaTex expression showing square root of 7
f A LaTex expression showing square root of 10
2
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,-3) \\ \text{Point B:} (2,3)
a A LaTex expression showing square root of 40
b A LaTex expression showing square root of 32
c A LaTex expression showing square root of 36
d A LaTex expression showing square root of 12
e A LaTex expression showing square root of 60
f A LaTex expression showing square root of 28
3
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (2,1) \\ \text{Point B:} (3,-2)
a A LaTex expression showing square root of 17
b A LaTex expression showing square root of 4
c A LaTex expression showing square root of 1
d A LaTex expression showing square root of 2
e A LaTex expression showing square root of 7
f A LaTex expression showing square root of 10
4
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,2) \\ \text{Point B:} (2,-2)
a A LaTex expression showing square root of 20
b A LaTex expression showing square root of 10
c A LaTex expression showing square root of 32
d A LaTex expression showing square root of 24
e A LaTex expression showing square root of 30
f A LaTex expression showing square root of 12
5
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (3,2) \\ \text{Point B:} (2,-3)
a A LaTex expression showing square root of 6
b A LaTex expression showing square root of 22
c A LaTex expression showing square root of 40
d A LaTex expression showing square root of 44
e A LaTex expression showing square root of 26
f A LaTex expression showing square root of 30
6
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-2,-2) \\ \text{Point B:} (3,-1)
a A LaTex expression showing square root of 12
b A LaTex expression showing square root of 28
c A LaTex expression showing square root of 36
d A LaTex expression showing square root of 20
e A LaTex expression showing square root of 44
f A LaTex expression showing square root of 26
7
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (2,2) \\ \text{Point B:} (-3,-1)
a A LaTex expression showing square root of 43
b A LaTex expression showing square root of 25
c A LaTex expression showing square root of 34
d A LaTex expression showing square root of 37
e A LaTex expression showing square root of 52
f A LaTex expression showing square root of 19