IM Geo.1.4 Practice: Construction Techniques 2: Equilateral Triangles
This diagram is a straightedge and compass construction.
is the center of one circle, and is the center of the other. Explain how we know triangle 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.
is the center of one circle, and is the center of the other.
Select all the true statements.
Line segment CD is the perpendicular bisector of line segment AB.
Is line segment the perpendicular bisector of line segment ?
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 and ? Explain your reasoning.
Using only a compass, can you find points in the plane that are the same distance from points and ? Explain your reasoning.
In this diagram, line segment CD is the perpendicular bisector of line segment AB. Assume the conjecture that the set of points equidistant from and is the perpendicular bisector of is true. Select all statements that must be true.
The diagram was constructed with straightedge and compass tools
Name all segments that have the same length as segment .
Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the quadrilateral ACBD in this diagram.
In the construction, A is the center of one circle and B is the center of the other.
Which segment has the same length as ?