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Cartesian Grid - Distance as Radical Between Points (Angle) (Level 2)

This math topic focuses on calculating the distance between two points on a Cartesian grid through radicals. Students are required to apply the Pythagorean theorem implicitly to find distances, which are then shown as the square roots of sums of squares of differences in the x and y coordinates. The problems vary by specific points, and potential answers are provided in radical form, emphasizing understanding and manipulation of square root expressions. This is a fundamental exercise in geometry, enhancing spatial reasoning and algebraic skills combined.

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

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Distance as Radical Between Points (Angle)

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Find the distance between point A and point B on the diagram

y5x0AB

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

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Math worksheet on 'Cartesian Grid - Distance as Radical Between Points (Angle) (Level 2)'. Part of a broader unit on 'Pythagoras - Practice' Learn online: app.mobius.academy/math/units/pythagoras_practice/
1
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 53
b A LaTex expression showing square root of 41
c A LaTex expression showing square root of 69
d A LaTex expression showing square root of 13
e A LaTex expression showing square root of 61
f A LaTex expression showing square root of 5
2
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 10
b A LaTex expression showing square root of 11
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 2
3
An svg image showing a math problem
Find the distance between point A and point B on the diagram
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 11
d A LaTex expression showing square root of 2
e A LaTex expression showing square root of 13
f A LaTex expression showing square root of 6
4
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 8
b A LaTex expression showing square root of 18
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 15
e A LaTex expression showing square root of 14
f A LaTex expression showing square root of 4
5
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 22
b A LaTex expression showing square root of 14
c A LaTex expression showing square root of 23
d A LaTex expression showing square root of 16
e A LaTex expression showing square root of 17
f A LaTex expression showing square root of 12
6
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 19
b A LaTex expression showing square root of 15
c A LaTex expression showing square root of 9
d A LaTex expression showing square root of 18
e A LaTex expression showing square root of 17
f A LaTex expression showing square root of 25
7
An svg image showing a math problem
Find the distance between point A and point B on the diagram
a A LaTex expression showing square root of 3
b A LaTex expression showing square root of 5
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 4
f A LaTex expression showing square root of 13