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Geometry worksheet in which students determine the lengths of sides of right triangles by counting squares and use the Pythagorean Theorem to calculate the lengths of  hypotenuses of right triangles on a grid and on a coordinate axis.
Geometry worksheet in which students determine the lengths of sides of right triangles by subtracting coordinates and use the Pythagorean Theorem to calculate the lengths of  hypotenuses of right triangles on a coordinate axis.

Activity 3.8

Assignment 3.9

Assignment 9.1

Distance on the Coordinate Plane

 
Objectives
Use the Pythagorean Theorem to calculate the length of the hypotenuse in right triangles:
 
  • on a grid by counting squares to find the lengths of the legs.
  • on a coordinate axis by subtracting coordinates to find the lengths of the legs. 
 
 
 
 
 
 
​​Next

About Geometry Worksheet Assignment 9.1:                   

 

Assignment 9.1 is an introduction to finding distance between two points on the coordinate plane.

 

Prerequisite Skills:  Apply the Pythagorean Theorem to find the length of the hypotenuse in a right triangle (Assignment 7.3).  Name coordinates of points on the coordinate plane (Assignment 1.7)

 

Theorem:  For two points on the coordinate plane (x1, y1) and (x2, y2): the horizontal component of the distance between the points is the absolute value of

                        x2 - x1; the vertical component of the distance between the points is the absolute value of y2 - y1.

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