Copy of IM Geo.1.4 Practice: Construction Techniques 2: Equilateral Triangles

This diagram is a straightedge and compass construction.
[math]A[/math] is the center of one circle, and [math]B[/math] is the center of the other.[br]Explain how we know triangle [math]ABC[/math] is equilateral.
A, B, and C are the centers of the 3 circles.
How many equilateral triangles are there in this diagram?
This diagram is a straightedge and compass construction.
[size=150][math]A[/math] is the center of one circle, and [math]B[/math] is the center of the other.[/size][br][br][img]data:image/png;base64,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[/img][br]Select [b]all[/b] the true statements.
Line segment CD is the perpendicular bisector of line segment AB.
[img]data:image/png;base64,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[/img] [br]Is line segment [math]AB[/math] the perpendicular bisector of line segment [math]CD[/math]?
In the applet below, there are 2 points in the plane.
Using only a straightedge, can you find points in the plane that are the same distance from points [math]A[/math] and [math]B[/math]? Explain your reasoning.[br]
Using only a compass, can you find points in the plane that are the same distance from points [math]A[/math] and [math]B[/math]? Explain your reasoning.[br]
[size=150][size=100]In this diagram, line segment CD is the perpendicular bisector of line segment AB. 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. Select [b]all [/b]statements that must be true.[/size][br][img]data:image/png;base64,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[/img][/size]
The diagram was constructed with straightedge and compass tools
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[/img][br]Name [b]all[/b] segments that have the same length as segment [math]AC[/math].
Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the quadrilateral ACBD in this diagram.
[img]data:image/png;base64,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[/img]
In the construction, A is the center of one circle and B is the center of the other.
[img]data:image/png;base64,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[/img][br]Which segment has the same length as [math]AB[/math]?
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Information: Copy of IM Geo.1.4 Practice: Construction Techniques 2: Equilateral Triangles