Distance Between Coordinates

The distance formula comes from the following equation:

• Midpoint Formula

• Circumference

• Slope Equation

• Pythagorean Theorem

Tags

CCSS.HSG.GPE.B.7

Find the distance between the pair of points R(-4, 1) and F(0, -2).

• 5

• 8.60

• 7

• 9.22

Tags

CCSS.HSG.GPE.B.7

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.B.7

Find the distance between (-5, -8) and (-1, -16).

• 8.9

• 9.8

• 10.3

• 11

Tags

CCSS.HSG.GPE.B.7

The grid represents the layout of a neighborhood. Each unit on the grid represents 1 square mile.

The Post Office is located at (5, 3)

The Bank is located at (5, 1)

The Town Hall is located at (-4, 3)

What is the distance, in miles, from the Post Office to the Town Hall?

Mathematical Equivalence

ON

Tags

CCSS.6.NS.C.8

This grid represents the layout of Valerie's math class. Each unit on the grid represents 1 square foot.

Valerie's desk is located at (-3, -4)

The teacher's desk is located at (5, -4)

The storage closet is located at (-3, -7)

What is the distance, in feet, from Valerie's desk to the storage closet?

Mathematical Equivalence

ON

Tags

CCSS.6.NS.C.8

The graph shows the locations of an eagle's nest, a tree, and a pond. On the coordinate grid, each unit represents a mile.

What is the distance from the pond to the tree? Round to the nearest tenth of a mile.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.B.7

Find the value of x. 

• x=47

• x=19

• x=33

• x= -47

What is the distance between these coordinates?

(13, 2) and (-9,2)

• 7 units

• 11 units

• 4 units

• 22 units

Tags

CCSS.HSG.GPE.B.7

What is the distance between these coordinates? (-12,8) and (7,8)

• 19 units

• 5 units

• 1 unit

• 4 units

Tags

CCSS.HSG.GPE.B.7