IM Geo.1.3 Lesson: Construction Techniques 1: Perpendicular Bisectors
Here are 2 points labeled A and B, and a line segment CD:
[size=150]Mark 5 points that are a distance [math]CD[/math] away from point [math]A[/math]. [br][/size][br]How could you describe all points that are a distance [math]CD[/math] away from point [math]A[/math]?
[size=150]Mark 5 points that are a distance [math]CD[/math] away from point [math]B[/math].[/size][br][br]How could you describe all points that are a distance [math]CD[/math] away from point [math]B[/math]?[br]
In a different color, mark all the points that are a distance [math]CD[/math] away from both [math]A[/math] and [math]B[/math] at the same time.
Your teacher will mark points A and B on the floor.
[br]Decide where to stand so you are the same distance from point [math]A[/math] as you are from point [math]B[/math]. Think of another place you could stand in case someone has already taken that spot.
After everyone sits down, draw a diagram of what happened.
In this activity, we thought about the set of points on the floor—a two-dimensional plane—that were equidistant from two given points A and B.
What would happen if we didn’t confine ourselves to the floor?
Start with two points [math]A[/math] and [math]B[/math] in three-dimensional space. What would the set of points equidistant from [math]A[/math] and [math]B[/math] look like?
Use the tools available to find the perpendicular bisector of segment PQ.
After coming up with a method, look for another method to find its perpendicular bisector.
IM Geo.1.3 Practice: Construction Techniques 1: Perpendicular Bisectors
This diagram is a straightedge and compass construction.
[size=150][size=100][math]A[/math] is the center of one circle, and [math]B[/math] is the center of the other. Select [b]all[/b] the true statements.[/size][br][/size][img]data:image/png;base64,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[/img]
AB ⊥ CD
Line segment CD is the perpendicular bisector of line segment AB.
[size=150]Assume the conjecture that the set of points equidistant from [math]A[/math] and [math]B[/math] is the perpendicular bisector of [math]AB[/math] is true.[/size][br]Is point [math]E[/math] closer to point [math]A[/math], closer to point [math]B[/math], or the same distance between the points? Explain how you know.
Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the triangle ABC in this diagram.
[img]data:image/png;base64,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[/img]
This diagram was created by starting with points C and D and using only straightedge and compass to construct the rest
[size=150]All steps of the construction are visible.[/size] 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[/img][br]Select [b]all [/b]the steps needed to produce this diagram.
This diagram was constructed with straightedge and compass tools.
[size=150] [math]A[/math] is the center of one circle, and [math]C[/math] is the center of the other. 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[/img][br]Select [b]all[/b] true statements.