Distance on the Coordinate Plane

What theorem can be used to find the distance between two points on a coordinate plane?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

In Example 1, what are the coordinates of the two points used to find the distance?

• (3,0) and (7,5)

• (0,0) and (4,4)

• (2,3) and (5,7)

• (1,4) and (6,8)

What is the approximate distance between the points (3,0) and (7,5) rounded to the nearest tenth?

• 6.4 units

• 8.4 units

• 5.4 units

• 7.4 units

What is the formula for the distance D between two points with coordinates (X1, Y1) and (X2, Y2)?

• D = √((X2 + X1)^2 + (Y2 + Y1)^2)

• D = (X2 - X1) + (Y2 - Y1)

• D = √((X2 - X1)^2 + (Y2 - Y1)^2)

• D = (X2 + X1)^2 + (Y2 + Y1)^2

In Example 2, what does each unit on the map represent?

• 45 miles

• 30 miles

• 60 miles

• 50 miles

What are the coordinates of West Point, NY in Example 2?

• (2.5, 1)

• (1, 2.5)

• (2, 1.5)

• (1.5, 2)

What is the approximate distance between West Point, NY and Annapolis, MD using the distance formula?

• 150 miles

• 225 miles

• 207 miles

• 180 miles

In Example 3, what are the coordinates of point X?

• (4, -5)

• (2, -3)

• (3, -2)

• (5, -4)

What is the distance between points (5,-4) and (-3,-2) rounded to the nearest tenth?

• 6.2 units

• 8.2 units

• 7.2 units

• 5.2 units

What is the first step in using the distance formula to find the distance between two points?

• Multiply the coordinates

• Add the y-coordinates

• Divide the coordinates

• Subtract the x-coordinates