Distance as Radical Between Points (Angle) (Level 1)

This math topic focuses on calculating the distance between two points on a Cartesian grid using radicals, incorporating angles. Each problem presents a diagram from which students are asked to determine the distance between points labeled 'A' and 'B'. Multiple choice answers are provided, all given in radical form, testing students' understanding of the geometric representation of distance and their ability to apply the distance formula. This set of problems serves as an introduction to Cartesian grid distances and engages students in spatial and algebraic thinking.

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 18
b A LaTex expression showing square root of 13
c A LaTex expression showing square root of 17
d A LaTex expression showing square root of 19
e A LaTex expression showing square root of 20
f A LaTex expression showing square root of 14
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 14
b A LaTex expression showing square root of 7
c A LaTex expression showing square root of 2
d A LaTex expression showing square root of 1
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 4
b A LaTex expression showing square root of 2
c A LaTex expression showing square root of 10
d A LaTex expression showing square root of 6
e A LaTex expression showing square root of 5
f A LaTex expression showing square root of 7
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 7
b A LaTex expression showing square root of 21
c A LaTex expression showing square root of 13
d A LaTex expression showing square root of 8
e A LaTex expression showing square root of 10
f A LaTex expression showing square root of 19
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 2
b A LaTex expression showing square root of 12
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 7
f A LaTex expression showing square root of 8
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 7
b A LaTex expression showing square root of 6
c A LaTex expression showing square root of 13
d A LaTex expression showing square root of 12
e A LaTex expression showing square root of 8
f A LaTex expression showing square root of 17
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 9
b A LaTex expression showing square root of 5
c A LaTex expression showing square root of 2
d A LaTex expression showing square root of 7
e A LaTex expression showing square root of 1
f A LaTex expression showing square root of 14
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 23
b A LaTex expression showing square root of 5
c A LaTex expression showing square root of 25
d A LaTex expression showing square root of 27
e A LaTex expression showing square root of 43
f A LaTex expression showing square root of 29