Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 1)

This math topic focuses on calculating the distance between pairs of points on a Cartesian grid. Throughout the problems, students are presented with coordinates for two points and must find the Euclidean distance between them, typically displayed as a radical (square root). The problems test the student's ability to accurately apply the distance formula, which involves the use of square roots and differences between corresponding coordinates. This is a foundational skill in geometry, particularly in understanding spatial relationships and vector distances.

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

Distance as Radical Between Coordinates (Angle)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the distance between the given (x,y) points

\text{Point A:} (4,1) \\ \text{Point B:} (5,4)

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

Math worksheet on 'Cartesian Grid - Distance as Radical Between Coordinates (Angle) (Level 1)'. Part of a broader unit on 'Cartesian Grid Distance - Intro' Learn online: app.mobius.academy/math/units/cartesian_grid_distance_intro/

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (0,1) \\ \text{Point B:} (3,3)$

A LaTex expression showing square root of 20

A LaTex expression showing square root of 5

A LaTex expression showing square root of 4

A LaTex expression showing square root of 7

A LaTex expression showing square root of 13

A LaTex expression showing square root of 15

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (0,2) \\ \text{Point B:} (4,3)$

A LaTex expression showing square root of 22

A LaTex expression showing square root of 21

A LaTex expression showing square root of 23

A LaTex expression showing square root of 16

A LaTex expression showing square root of 17

A LaTex expression showing square root of 18

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (2,1) \\ \text{Point B:} (3,4)$

A LaTex expression showing square root of 10

A LaTex expression showing square root of 14

A LaTex expression showing square root of 15

A LaTex expression showing square root of 1

A LaTex expression showing square root of 8

A LaTex expression showing square root of 5

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (1,0) \\ \text{Point B:} (5,3)$

A LaTex expression showing square root of 37

A LaTex expression showing square root of 21

A LaTex expression showing square root of 11

A LaTex expression showing square root of 25

A LaTex expression showing square root of 33

A LaTex expression showing square root of 13

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (4,1) \\ \text{Point B:} (5,5)$

A LaTex expression showing square root of 13

A LaTex expression showing square root of 17

A LaTex expression showing square root of 18

A LaTex expression showing square root of 20

A LaTex expression showing square root of 21

A LaTex expression showing square root of 24

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (1,1) \\ \text{Point B:} (2,2)$

A LaTex expression showing square root of 2

A LaTex expression showing square root of 3

A LaTex expression showing square root of 8

A LaTex expression showing square root of 7

A LaTex expression showing square root of 6

A LaTex expression showing square root of 1

Find the distance between the given (x,y) points

$A LaTex expression showing \text{Point A:} (2,0) \\ \text{Point B:} (3,4)$

A LaTex expression showing square root of 15

A LaTex expression showing square root of 26

A LaTex expression showing square root of 17

A LaTex expression showing square root of 13

A LaTex expression showing square root of 9

A LaTex expression showing square root of 24