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where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
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:
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on a grid by counting squares to find the lengths of the legs.
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on a coordinate axis by subtracting coordinates to find the lengths of the legs.
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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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