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Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 3)

This math topic is focused on calculating the distance between two points on the Cartesian grid using the distance formula. It involves identifying the coordinates of given points, substituting these values into the formula, and computing the distance as a radical. Each problem presents a pair of coordinates, and students are asked to find the correct distance expressed in radical form from multiple choice options. This topic enhances students' understanding of geometric concepts within coordinate systems and improves their skills in handling algebraic expressions involving square roots.

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:(0,3)Point B:(5,−3)\text{Point A:} (0,3) \\ \text{Point B:} (5,-3)

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 3)'. 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:} (3,0) \\ \text{Point B:} (0,5)
a A LaTex expression showing square root of 52
b A LaTex expression showing square root of 31
c A LaTex expression showing square root of 34
d A LaTex expression showing square root of 46
e A LaTex expression showing square root of 58
f A LaTex expression showing square root of 55
2
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,1) \\ \text{Point B:} (1,-2)
a A LaTex expression showing square root of 9
b A LaTex expression showing square root of 6
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 2
e A LaTex expression showing square root of 4
f A LaTex expression showing square root of 11
3
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (0,3) \\ \text{Point B:} (5,-3)
a A LaTex expression showing square root of 97
b A LaTex expression showing square root of 61
c A LaTex expression showing square root of 79
d A LaTex expression showing square root of 43
e A LaTex expression showing square root of 19
f A LaTex expression showing square root of 85
4
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-2,3) \\ \text{Point B:} (-3,1)
a A LaTex expression showing square root of 5
b A LaTex expression showing square root of 4
c A LaTex expression showing square root of 12
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
5
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (3,5) \\ \text{Point B:} (-2,2)
a A LaTex expression showing square root of 52
b A LaTex expression showing square root of 43
c A LaTex expression showing square root of 34
d A LaTex expression showing square root of 13
e A LaTex expression showing square root of 28
f A LaTex expression showing square root of 46
6
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (-1,5) \\ \text{Point B:} (0,0)
a A LaTex expression showing square root of 10
b A LaTex expression showing square root of 6
c A LaTex expression showing square root of 34
d A LaTex expression showing square root of 12
e A LaTex expression showing square root of 26
f A LaTex expression showing square root of 22
7
Find the distance between the given (x,y) points
A LaTex expression showing \text{Point A:} (3,4) \\ \text{Point B:} (0,5)
a A LaTex expression showing square root of 12
b A LaTex expression showing square root of 16
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 5
e A LaTex expression showing square root of 6
f A LaTex expression showing square root of 17