# Geometry Notes 1.3Pt2: Midpoint Formula

- Author:
- cprystalski, Tim Brzezinski

- Topic:
- Geometry

Review Problems: do these problems while you wait for class to start!
*Note: if these notes are not full screen, select "Tuesday's GeoGebra Notes" above

#1 and 2 (there is room on your PRINTED NOTES for work and answers)

## #1 and 2

1. Approximate the distance from A to B. (remember to approximate even if you aren't asked to)

2. Use the distance formula to find the distance between A and B. Use the word "root" for square root. So, if the answer is, write " 3 root 2"

PLEASE WAIT FOR THE CLASS BEFORE CONTINUING!

The

**MIDPOINT**of a line segment is the point halfway between the endpoints of the segment. The midpoint divides the segment into two congruent segments.The

**SEGMENT BISECTOR**is any point, segment, ray, line, or plane that intersects the segment at its midpoint.## Slide the bar, and also move the red point.

#3 (On PRINTED NOTES)

## #3

## (use the "segment XY" or "line PQ" when typing answers)

a) ____ and ____ and _____ bisect . b) ____ bisects .

**FINDING MIDPOINTS**

#4) (Let's do the first problem together.) For each segment in the applet below, determine the midpoint, and write your answer on your PRINTED NOTES. After you write your answer, use the midpoint tool to check your answer. Select each endpoint to see the midpoint.

## #4

## #5 (do the first problem with class)

For each segment , the endpoint B is NOT SHOWN, but endpoint A and midpoint M are shown. What are the coordinates of the missing endpoint B? Write your answers on the PRINTED NOTES. After you write your answers, check your answer by first using the segment tool to draw , and then use the midpoint tool to select the two endpoints, and see the midpoint.

## #5

Breakout rooms! Try problems #6-#10 on your printed notes with your partner.

After #10, head back to the main room!

These problems seem pretty straightforward. Why do we need a midpoint formula?

Do # 11 and #12 with the class, on your PRINTED NOTES.

# 13 - 16 ON PRINTED NOTES!
BREAKOUT ROOMS! Work on #13 - 16 with your partner.

## #13 - 16

WHEN YOU FINISH, GO BACK TO THE MAIN ROOM FOR YOUR EXIT SLIP!