### About Midpoint Formula:

The midpoint formula is used to find the coordinates of the midpoint of a line segment. The x-coordinate of the midpoint will be found as the average of the two x-coordinates for our endpoints. The y-coordinate of the midpoint will be found as the average of the two y-coordinates for our endpoints. M = ((x_{1} + x_{2})/(2), (y_{1} + y_{2})/(2))

Test Objectives

- Demonstrate the ability to find the midpoint of a line segment

#1:

Instructions: find the midpoint of each line segment PQ.

$$a)\hspace{.2em}P(2,-4), Q(1,5)$$

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#2:

Instructions: find the midpoint of each line segment PQ.

$$a)\hspace{.2em}P(-1,-7), Q(-4,4)$$

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#3:

Instructions: find the midpoint of each line segment PQ.

$$a)\hspace{.2em}P(10,8), Q(6,2)$$

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#4:

Instructions: find the midpoint of each line segment PQ.

$$a)\hspace{.2em}P(-20,14), Q(-4,6)$$

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#5:

Instructions: find the midpoint of each line segment PQ.

$$a)\hspace{.2em}P(-3,7), Q(-11,15)$$

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Written Solutions:

#1:

Solutions:

$$a)\hspace{.2em}\left(\frac{3}{2},\frac{1}{2}\right)$$

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#2:

Solutions:

$$a)\hspace{.2em}\left(-\frac{5}{2},-\frac{3}{2}\right)$$

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#3:

Solutions:

$$a)\hspace{.2em}(8,5)$$

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#4:

Solutions:

$$a)\hspace{.2em}(-12,10)$$

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#5:

Solutions:

$$a)\hspace{.2em}(-7,11)$$