Midpoint of a Line/Regents This website is developed by a school system, and reviews two methods for calculating the midpoint of a line.

How To Find The Midpoint Using The Midpoint Formula Very helpful YouTube video tutorial covering the midpoint formula.

Midpoint Formula worksheets Helpful midpoint formula worksheets from Math Worksheets go.

1. Draw a vertical line down from A until it is even with B and draw another line horizontal rom B until it touches the vertical line from point a. You have a right triangle drawn.

2. Mark the right angle created at vertex x.

3. Next, count the number of units on each leg of the triangle. From A to X, there are 3 units. Take 1/2 of the side or 1/2 x3 = 1.5. Draw a horizontal line across.

Count from B to X. There are 4 units and 1/2 of 4 = 2. Draw a line straight up that is at the halfway point.

4. Where the two lines cross is the midpoint of AB. ( 1/2, o )

Transcript Midpoint of a Line

X.

A **midpoint** of a line segment is the point on a line segment that divides the segment into two congruent segments.

You can think of the **midpoint** as the point halfway between the two endpoints of a line segment.

You can find the **midpoint** two ways. You can find the **midpoint** on a graph or by using an average formula.

Finding **midpoint** of a line on a graph.

1. Draw a right triangle from the ordered

pairs. ( see example)

2. Find 1/2 of each side

3. At the point these two numbers intercept is

your midpoint

Example Find the midpoint between (-2,2) and (2,-1)

You can also use the** Midpoint Formula**:

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Hi Welcome to Moo Moo Math. Today we are going to look at midpoint and how to find the midpoint of a line. We are going to look at it two ways. The first way is via a graph and the second is by the formula. Let’s look at the graph. I have graphed the points (-2, 2) and the other point (2, -1) and are going to find the midpoint of the segment. Well, if I connect these two points together, I can estimate my midpoint which is about here. Midpoint just means half way. Now I am going to show you graphically how to do this. I am going to draw a right triangle. So I am going to take the Point A and dot it down until I until I get even with Point B. Then I am going to go across until I get over to point A. Now, I have created a right triangle. This side is 3 units, and this side is 4 units. I am going to take ½ of each side. Half of 3 is 1.5 and half of 4 is 2. So I take half of each side, and I go 1.5 here and 2 here and I see where these two meet,and that gives me my midpoint. I have created a rectangle inside the right triangle. This is the graphical way if you like graphs. Now, let’s look at the formula way. I have the point (-2, 2) and (2, -1) and I am going to label these, x one, y one and x two, y two, this is my first ordered pair and this is my second ordered pair. Then I am going to plug them into the formula. I am going to take x one PLUS x two and divide by two. So I add my two x-coordinates together, and divide by 2. So, -2 plus 2 over 2 is zero over 2 or just zero. I do the same thing with my y-coordinates. 2 plus -1 all over 2. 2 plus -1 is positive 1, 1 over 2 is just ½. That means my ordered pair is (0, ½). That’s my midpoint. Let’s look at the rules of Midpoint! We have 2 methods, graphing, draw your right triangle, then find ½ of each side and connect those back to see where that point is. The second method is to use the midpoint formula, we took x one plus x two divided by 2, so we average the two x-coordinates. Y one plus y two divided by 2 to find the y-coordinate. Hope this was helpful.