### About Finding the Distance between Two Points:

We can find the distance between any two points on the coordinate plane by sketching out a right triangle and using the Pythagorean formula. From this formula, we are able to create a distance formula. This distance formula allows us to quickly find the distance between any two points. We simply label the points, plug in, and simplify.

Test Objectives
• Demonstrate a general understanding of the distance formula
• Demonstrate the ability to calculate a square root
• Demonstrate the ability to simplify a square root
Finding the Distance between Two Points Practice Test:

#1:

Instructions: Find the distance between each pair of points.

a) $$(3,-5),(-7,3)$$

#2:

Instructions: Find the distance between each pair of points.

a) $$(4,-6),(-12,10)$$

#3:

Instructions: Find the distance between each pair of points.

a) $$(8,-1),(11,-2)$$

#4:

Instructions: Find the distance between each pair of points.

a) $$(5,0),(-10,10)$$

#5:

Instructions: Find the distance between each pair of points.

a) $$(1,2),(-7,-10)$$

Written Solutions:

#1:

Solutions:

a) $$d=2\sqrt{41}$$

#2:

Solutions:

a) $$d=16\sqrt{2}$$

#3:

Solutions:

a) $$d=\sqrt{10}$$

#4:

Solutions:

a) $$d=5\sqrt{13}$$

#5:

Solutions:

a) $$d=4\sqrt{13}$$