Distance as Radical Between Points (Angle) (Level 3)

This math topic focuses on calculating the distance between two points on a Cartesian grid, expressing the distances in radical form, an application of the Pythagorean theorem. Each problem presents a diagram with two points labeled, and multiple choice answers expressed as square roots. The learners are tasked with finding the correct radical expression that represents the distance between the points. This set of problems helps strengthen understanding of geometry, coordinate plane navigation, and the use of the Pythagorean theorem in solving real-world and theoretical problems.

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 Points (Angle) Worksheet

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Cartesian Grid - Distance as Radical Between Points (Angle)
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 4
b A LaTex expression showing square root of 10
c A LaTex expression showing square root of 5
d A LaTex expression showing square root of 1
e A LaTex expression showing square root of 11
f A LaTex expression showing square root of 12
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 3
b A LaTex expression showing square root of 2
c A LaTex expression showing square root of 14
d A LaTex expression showing square root of 9
e A LaTex expression showing square root of 5
f A LaTex expression showing square root of 11
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 52
b A LaTex expression showing square root of 27
c A LaTex expression showing square root of 72
d A LaTex expression showing square root of 32
e A LaTex expression showing square root of 47
f A LaTex expression showing square root of 22
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 5
b A LaTex expression showing square root of 19
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 21
e A LaTex expression showing square root of 13
f A LaTex expression showing square root of 12
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 7
b A LaTex expression showing square root of 8
c A LaTex expression showing square root of 1
d A LaTex expression showing square root of 14
e A LaTex expression showing square root of 11
f A LaTex expression showing square root of 4
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 28
b A LaTex expression showing square root of 22
c A LaTex expression showing square root of 18
d A LaTex expression showing square root of 26
e A LaTex expression showing square root of 36
f A LaTex expression showing square root of 20
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 20
b A LaTex expression showing square root of 12
c A LaTex expression showing square root of 8
d A LaTex expression showing square root of 14
e A LaTex expression showing square root of 38
f A LaTex expression showing square root of 22
8
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 37
b A LaTex expression showing square root of 5
c A LaTex expression showing square root of 13
d A LaTex expression showing square root of 15
e A LaTex expression showing square root of 25
f A LaTex expression showing square root of 21