IM Geo.1.4 Lesson: Construction Techniques 2: Equilateral Triangles

What do you notice? What do you wonder?
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[/img]
Here is a straightedge and compass construction of a regular hexagon inscribed in a circle just before the last step of drawing the sides:
Use the polygon tool (the one that looks like a triangle) to draw at least 2 polygons on the figure.
[size=150]The vertices of your polygon should be intersection points in the figure. [br]Shade in your polygons using different colors to make them easier to see. [br]Use the style bar to change the color. This is what the style bar looks like.[/size][br][img]data:image/png;base64,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[/img][br]Write at least 2 conjectures about the polygons you made.
Use straightedge and compass moves to construct at least 2 equilateral triangles of different sizes.
Examine the figure carefully.
[img]data:image/png;base64,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[/img][img]data:image/png;base64,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[/img][br]What different shapes is it composed of? Be specific.[br]
Figure out how to construct the figure with a compass and straightedge.
[size=150]If you can, try constructing this figure on paper. Then, cut it out, and see if you can fold it up into a container like this.[/size][br]

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 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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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