Midpoint and Distance Formula

Multiple Choice

A__________ is a fixed position in space and has no dimensions or size.

• Point

• Line

• Plane

• Cube

Multiple Choice

How many point are required to name a specific plane

• 3

• 2

• $$\infty$$

• 1

• 0

Multiple Choice

Line AB can be written as ....

Multiple Choice

Two lines intersect at a ....

• angle
• point
• line
• intersection

Multiple Choice

F, D, and C are coplanar

• True

• False

Multiple Choice

Suppose AC =  48, find the value of x. Then, find the length of AB.

• 13

• 16

• 12

• 15

Midpoint and Distance Formula

Some text here about the topic of discussion

You need to work with a pair or in triad. Grab the a graphing paper and 2 markers. Decide who will do the following

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Pair/Triad -

Plot Point A (-2,5)

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Pair/triad - Plot Point C (-2,-3)

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Study the coordinates of the three points.

What do you think is the general rule that we can use to find midpoint?

​Midpoint Formula

​Given two points A (x)₁, (y)₁ and B (x)₂, (y)₂, the midpoint between A and B is given by,

​

Multiple Choice

By Pair or Group:

Practice 1

Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)

• (-5.5, 6)

• (21,14)

• (3,-2.5)

• (-6,-5.5)

Multiple Choice

Practice 4:

The midpoint of line segment AB is (2, -5).  If the coordinates of point A are (4, 4), what are the coordinates of B?

• (0, -14)

• (6, 14)

• (6, 13)

• (0, -13)

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5 Minute Break!

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Pair/Triad - Now, go back to your graph and plot Point D (4,-3)

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What shape you can form when Points A, C, and D are connected?

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What do you think can help us to get the distance from Point A to Point D?

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Study the coordinates of Point A and Point D.

How do you think we measure a segment?

What should we do with the x-values? y-values?

​Distance Formula

Multiple Choice

Practice 6:

Find EF given E(-7, -2) and F(11, 3).

• 43.8

• 19.5

• 51.2

• 18.7

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