# What Is The Midpoint Of Ab

What Is The Midpoint Of Ab – Brian was a Teach for America geometry teacher and started a geometry program at his school

When dealing with geometry problems, it is often helpful to draw a picture. Using what we know about midpoints and finding the length of AB, the midpoint of AB at C, and the midpoint of AC at D, the length of AD can be found.

## What Is The Midpoint Of Ab

First, we know that AB has length 20. Since C is the midpoint of AB and the midpoints bisect AC, AC is half the length of AB, so AC = 10. Then D is the midpoint of AC, so it bisects it. AC into two equal parts, that is, the length of the segments is half of the segment. So the length of AD is 5.

## What Is The Midpoint Of Line Segment Ab?

Using the knowledge of the midpoint, we can apply it to a difficult problem, which is actually not that difficult if you just draw a picture, which is one of the problem solving strategies. If ab is equal to 20 and c is the midpoint of ab.

I’m going to stop here and draw the ab segment. So I drew ab, and I know that this point c is the middle point. Now I will show that ac and cb are congruent, because we know that c, by definition, must divide this segment into two congruent parts.

Then he says that d is the center of ac. So, taking this line segment ab, we’re going to divide it in half, and I’m going to divide it in half again, and we know that half of ½ is ¼. So we have point d, which is the center of c, and notice that I used a different notation than here. Find an ad.

So what I’m going to do is I know that this whole distance right here is 20 units. I don’t know what units are here, so I guess it will be units. If ac is half of ab, we know it must be 10 here, line cb. We know that this line segment here has to be 10 because they’re congruent, and if we divide it in half again, we know that the ad is 5. So look for the ad. Advertising is 5 units.

## Answered: Given E Is The Midpoint Of Ab Es The…

The key to solving this problem is to draw a picture and know where your midpoints are. M is the midpoint of AB. Find AM and MB. Example 1 Find the lengths of the segments M is the midpoint of AB. Find AM and MB. SOLUTION AM = MB = 2 1.

Topic presentation: “M is the midpoint of AB. Find AM and MB. Example 1 Find the lengths of M is the midpoint of AB. Find AM and MB. SOLUTION AM = MB = 2 1.”— Presentation transcript:

Example 1 Find the lengths of the segments M is the midpoint of AB. Find AM and MB. SOLUTION AM = MB = 2 1 AB = 26 13 ANSWER AM = 13 and MB = 13. 8

Example 2 Find the lengths of the segments P RS is the midpoint of the segment. Find PS and RS. SOLUTION P is the midpoint of RS, so PS = RP. So PS = 7. RS = = = 14 2 RP 2 7 ANSWER PS = 7 and RS = 14, 9

### Answered: Question # 10 If M Is The Midpoint Of…

Find the lengths of the segments. Find DE and EF. 1. ANSWER DE = 9; EF = 9 Find NP and MP. ANSWER 2 NP = 11; MP = 22

Example 3 Using Segment Length Algebra Line L is the bisector of segment AB. Find the value of x SOLUTION AM = MB 5x = 35 5 5x = 35 x = 7 Test your solution by substituting 7 for x. 5x = 5(7) = 35 CHECK 12

Example 4 Use the midpoint formula. Find the coordinates of the midpoint of AB. A(1, 2), B(7, 4) a. A(-2, 3), B(5, -1) b. SOLUTION Make a sketch first. Then use the midpoint formula. A. Let (x1, y1) = (1, 2) and (x2, y2) = (7, 4). M = 2 x1 + x2 , y1 + y2 = 2 1 + 7 , 2 + 4 = (4, 3) 16

Example 4 Use the midpoint b formula. Let (x1, y1) = (-2, 3) and (x2, y2) = (5, -1). M = 2 x1 + x2 , y1 + y2 = 2 – 2 + 5 , 3 + ( – 1) 2 3 , 1 = 17

## Prove Statement About Segments And Angles 2

Anchor Point Use the PQ Sketch midpoint formula. Then find the coordinates of its center. P(2, 5), Q(4, 3) 3. P(0, -2), Q(4, 0) 4. P(-1, 2), Q(-4, 1) 5.

Anchor Point Use the PQ Sketch midpoint formula. Then find the coordinates of its center. P(2, 5), Q(4, 3) ANSWER 3 (3, 4) P(0, -2), Q(4, 0) ANSWER 4 (2, -1) ANSWER – , 2 5 3 P(-1, 2), Q(-4, 1) 5.

1. Use the protractor to approximate the measure ABC. ANSWER 30° 2. Use your answer to Exercise 1 and the Angle Sum Postulate to find the measure of ABD. ANSWER 90° 3. Classify each of the three angles shown in the figure as acute, right, obtuse, or right. ANSWER ABC is spiky, CBD is spiky and ABD is normal.

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### Q # 18 Find The Midpoint Of. A B

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