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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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 17
b A LaTex expression showing square root of 15
c A LaTex expression showing square root of 19
d A LaTex expression showing square root of 25
e A LaTex expression showing square root of 12
f A LaTex expression showing square root of 24
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 17
c A LaTex expression showing square root of 9
d A LaTex expression showing square root of 43
e A LaTex expression showing square root of 39
f A LaTex expression showing square root of 23
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 13
b A LaTex expression showing square root of 14
c A LaTex expression showing square root of 3
d A LaTex expression showing square root of 21
e A LaTex expression showing square root of 9
f A LaTex expression showing square root of 16
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 16
b A LaTex expression showing square root of 11
c A LaTex expression showing square root of 15
d A LaTex expression showing square root of 5
e A LaTex expression showing square root of 10
f A LaTex expression showing square root of 8
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 4
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 37
f A LaTex expression showing square root of 28
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 41
b A LaTex expression showing square root of 53
c A LaTex expression showing square root of 5
d A LaTex expression showing square root of 69
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 5
b A LaTex expression showing square root of 2
c A LaTex expression showing square root of 3
d A LaTex expression showing square root of 8
e A LaTex expression showing square root of 6
f A LaTex expression showing square root of 10
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 20
b A LaTex expression showing square root of 36
c A LaTex expression showing square root of 22
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 28