Distance Formula Review

Distance Formula Review

Distance Formula

Review and Practice

Multiple Select

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?

(3, 4) , (7, 1)

• $d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$

• $d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$

• $d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$

• $d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$

• $d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$

Multiple Choice

Find the distance between the points (5, 7) and (-2, -2).

• 5.7

• 5.8

• 8.6

• 11.4

Multiple Choice

Find the distance between (0, 10) and (12, 1).

• 12

• 11

• 15

• 16

Multiple Choice

What is the distance between AB?

• 0

• 5

• 4

Multiple Choice

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

Multiple Choice

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

• (-1, 7)

• (2, 7)

• (7, -1)

• (2, 2)

Multiple Choice

What is the midpoint between (3, -1) and (7, -5)

• (5, -2)

• (10, -6)

• (5, -3)

• (2, -2)

Multiple Choice

Point M with coordinates (3, 4) is the midpoint of the line segment AB. A has the coordinates (-1, 6). What are the coordinates of B?

• (1, 5)

• (7, 2)

• (2, 10)

• (1, 2)

Multiple Choice

If a segment has one endpoint at (-4, 5) and its midpoint is at (7, -9), what are the coordinates of its other endpoint?

• (18, -23)

• (13, 18)

• (11, 4)

• (1.5, -2)

Multiple Choice

Find the direct distance between the courthouse and the Pet Store.

• 2.6 km

• 25 km

• 5 km

• 7.2 km