Midpoint and Distance Formula

Open Ended

In your own word, explain the midpoint how to use the midpoint formula.

Multiple Choice

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

Multiple Choice

What formula would I use to find the x-coordinate of the midpoint between (3,9) and (5,9)

• $$\frac{3+5}{2}$$  

• $$\frac{3+9}{2}$$  

• $$\frac{5+9}{2}$$  

• $$\frac{9+9}{2}$$  

Multiple Choice

What formula would I use to find the y-coordinate of the midpoint between (3,9) and (5,9)

• $$\frac{3+5}{2}$$  

• $$\frac{3+9}{2}$$  

• $$\frac{5+9}{2}$$  

• $$\frac{9+9}{2}$$  

Multiple Choice

Find the midpoint of the line segment with the given endpoints (1,1) and (9,9)

• (5,5)

• (1,9)

• (17,17)

• (-4,-4)

Multiple Choice

Find the midpoint: $$\left(2,-7\right),\left(10,1\right)$$  

• (-3,6)

• (6,-3)

• (4,4)

• none

Multiple Choice

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)
• (-3,3)
• (4,5)
• (6,7)

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

Find the midpoint of the line segment with the given endpoints.

(0, 2), (-2, -8)

• (1, 5)

• (-4, -18)

• (-1, -3)

• (1, -5)

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

(0, -3), (-2, -4)

• (-1.5, -3)

• (1, 0.5)

• (-1, -3.5)

• (-4, -5)

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

(8, -1), (6, -1)

• (4, -1)

• (7, -1)

• (1, 0)

• (3.5, 2.5)

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

(-6, -1), (-6, -3)

• (-3.5, -4.5)

• (-6, -5)

• (-6, -2)

• (0, 1)

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

(-3, -5), (7, 8)

• (-4, 7.5)

• (17, 21)

• (-5, -6.5)

• (2, 1.5)

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

(-4, 4), (-2, -7)

• (-1, 5.5)

• (0, -4.5)

• (-3, -1.5)

• (0, -18)

Open Ended

In your own word, explain how you can use the distance formula to find the distance between (1, 2) and (4, 7).

Multiple Choice

How is the distance formula correctly written:

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$$

• $$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$$

• $$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$$

• d = $$\sqrt{\left(x\right)^2-\ \left(y\right)^2}$$

Multiple Choice

Find the distance between (-3, -11) and (8, -42).

• 32.1
• 32.3
• 32.7
• 32.9

Multiple Choice

Find the distance between (3, 24) and (7, 56).

• 32.1
• 32.2
• 32.3
• 32.4

Multiple Choice

Find the distance between ( 1, 3) and (5, 6) 

• 3
• 4
• 5
• 6

Multiple Choice

Find the length of line segment AB given A(4, 3) and B(0, 6).

• 3
• 4
• 5
• 7

Multiple Choice

The length between (3, 8) and (-2, -4) is ______?

• √17
• 13
• 17
• 169

Multiple Choice

What is the distance between (2,9) and (1,5)?

• 15
• 17
• 4.12
• 3.87

Multiple Choice

Use the Distance Formula to find the distance between:

(-6,-3) and (-4,-8)

• 5.3

• 7.1

• 6.6

• 4.8

Multiple Choice

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

• 8.9
• 9.8
• 10.3
• 11