Distance and Midpoint Formula Review

Distance & Midpoint Formula Review

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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 ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

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

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

• 2.6 km

• 25 km

• 5 km

• 7.2 km

Multiple Choice

Find the midpoint of the segment with the endpoints:(-7, -13) and (-11, -5)

• (-9, -9)
• (-3, -4)
• (-3, 4)
• (-4, -3)

Multiple Choice

Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   

• (0.5, 0.5)
• (6.5, -2.5)
• (-1.5, 7)
• (-2.5, 6.5)

Multiple Choice

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

• (-1, 13)
• (13, 1)
• (13, -1)
• (5, 13)

Multiple Choice

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  

• (-5.5, -7.5)
• (-1.5, -0.5)
• (-3, -1)
• (0.5, 1.5)

Multiple Choice

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0)     

• (4, 3.5)
• (3.5, 5)
• (3.5, 4.5)
• (5, 3.5)