Geometry Notes 1.3Pt2: Midpoint Formula

[size=200][color=#38761d]Review Problems: do these problems while you wait for class to start![br][/color][/size][br][color=#ff0000]*Note: if these notes are not full screen, select "[/color][color=#0000ff]Tuesday's GeoGebra Notes[/color]" [color=#ff0000]above[/color]

#1 and 2 (there is room on your [size=150][color=#ff7700]PRINTED NOTES[/color][/size] 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[math]3\sqrt{2}[/math], write " 3 root 2"

[size=200][color=#ff0000]PLEASE WAIT FOR THE CLASS BEFORE CONTINUING![/color][/size]

[size=150][color=#0000ff]The [b]MIDPOINT[/b] of a line segment is the point halfway between the endpoints of the segment. The midpoint divides the segment into two congruent segments.[/color][/size]

[size=150][color=#0000ff]The [b]SEGMENT BISECTOR[/b] is any point, segment, ray, line, or plane that intersects the segment at its midpoint.[/color][/size]

Slide the bar, and also move the red point.

[size=150]#3 (On [color=#ff7700]PRINTED NOTES[/color])[/size]

#3

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

[size=150]a) ____ and ____ and _____ bisect [math]\text{\overline{AC}}[/math].[br]b) ____ bisects [math]\text{\overline{BD}}[/math].[/size]

[b][size=150][size=200][color=#0000ff]FINDING MIDPOINTS[/color][/size][/size][/b]

#4) (Let's do the first problem together.) For each segment in the applet below, determine the midpoint, and write your answer on your [color=#ff7700][size=150]PRINTED NOTES[/size][/color]. After you write your answer, use the midpoint tool [icon]/images/ggb/toolbar/mode_mirroratpoint.png[/icon] to check your answer. Select each endpoint to see the midpoint.

#4

#5 (do the first problem with class)

For each segment [math]\text{\overline{AB}}[/math], 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 [size=150][color=#ff7700]PRINTED NOTES[/color][/size]. After you write your answers, check your answer by first using the segment tool [icon]/images/ggb/toolbar/mode_segment.png[/icon] to draw [math]\text{\overline{AB}}[/math] , and then use the midpoint tool [icon]/images/ggb/toolbar/mode_midpoint.png[/icon] to select the two endpoints, and see the midpoint.

#5

[size=200][color=#ff0000]Breakout rooms! Try problems #6-#10 on your printed notes with your partner.[/color][/size]

[size=200][color=#ff0000]After #10, head back to the main room! [/color][/size]

[size=150][size=200][color=#0000ff]These problems seem pretty straightforward. Why do we need a midpoint formula?[/color][/size][/size]

[size=150][color=#38761d]Do # 11 and #12 with the class, on your PRINTED NOTES. [/color][/size]

[size=200][size=150]# 13 - 16 ON [/size][color=#ff7700][size=150]PRINTED NOTES[/size][/color][size=150]![/size][br][color=#ff0000][br]BREAKOUT ROOMS! Work on #13 - 16 with your partner. [br][/color][/size]

#13 - 16

[size=200][color=#ff0000]WHEN YOU FINISH, GO BACK TO THE MAIN ROOM FOR YOUR EXIT SLIP![/color][/size]