Geometry figure examples

Real answers, each with the request that produced it. Pick the one closest to your work and try it with your own figure.

Each example below is one construction, described as what is built from what: midpoints, intersections, perpendiculars, an inscribed circle. Coordinates are worked out for you, and the properties the figure states are checked before you see it. The answer is plain TikZ: typeset it in your document, or open it in the free TikZ editor and download SVG or PNG for a worksheet. Measurements you write are not compared with the drawing, and a point can be moved so a stated property holds, so read the source before you hand it out. Every figure shown here was drawn from the source Forma returned.

For educators

Circumcircle construction

The perpendicular bisectors, the point where they meet and the circle through all three corners, for a worksheet or a slide.

TikZ

Incircle construction

The point where the angle bisectors meet and the circle that touches all three sides, for a worksheet or an exam.

TikZ