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What is the first step in the construction of an equilateral triangle?
Draw a base of the required length.
What is the best next step in the construction of an equilateral triangle?
Use a straightedge to draw a line segment from A to one of the points where the two circles intersect.
How do you construct a quadrilateral when its sides are given?
The lengths of the sides does not provide sufficient information to define a quadrilateral. This is because a quadrilateral can be flexed.For example, given the facts that the lengths are all the same, the quadrilateral could be a square or a rhombus.
How would the construction be different if you changed the compass setting in step 4 of the perpendicular bisector construction?
If the compass angle is changed, the entire geometric shape being drawn is different. For example, if a triangle is being drawn, it could change from an obtuse triangle from a ninety degree triangle.
What is the first step in the construction of a line perpendicular to AB and passing through an external point M?
Draw a straight line and with compass mark off two joined arcs above and below the line and then join the arcs together which will produce a perpendicular line.
