Drawing straight lines must be a step that is included!
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Draw a base of the required length.
Use a straightedge to draw a line segment from A to one of the points where the two circles intersect.
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.
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.
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.