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

This math topic focuses on determining the distance between two points on a Cartesian grid using the radical expression derived from the Pythagorean theorem. It consists of several problems where learners calculate distances based strictly on coordinates provided in each diagram. Each problem offers multiple radical choices, such as square roots of varying values, for the answer, reinforcing conceptual understanding and application of the distance formula within the context of geometry and algebra principles.

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

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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 4)'. 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 19
b A LaTex expression showing square root of 12
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 3
e A LaTex expression showing square root of 15
f A LaTex expression showing square root of 1
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 25
b A LaTex expression showing square root of 19
c A LaTex expression showing square root of 37
d A LaTex expression showing square root of 103
e A LaTex expression showing square root of 109
f A LaTex expression showing square root of 61
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 8
b A LaTex expression showing square root of 7
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 17
e A LaTex expression showing square root of 21
f A LaTex expression showing square root of 13
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 14
b A LaTex expression showing square root of 22
c A LaTex expression showing square root of 13
d A LaTex expression showing square root of 7
e A LaTex expression showing square root of 5
f A LaTex expression showing square root of 15
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 25
b A LaTex expression showing square root of 33
c A LaTex expression showing square root of 35
d A LaTex expression showing square root of 39
e A LaTex expression showing square root of 43
f A LaTex expression showing square root of 15
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 34
b A LaTex expression showing square root of 25
c A LaTex expression showing square root of 19
d A LaTex expression showing square root of 7
e A LaTex expression showing square root of 61
f A LaTex expression showing square root of 13
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 17
b A LaTex expression showing square root of 1
c A LaTex expression showing square root of 6
d A LaTex expression showing square root of 8
e A LaTex expression showing square root of 14
f A LaTex expression showing square root of 13