Read Varignon parallelogram and diagonal perpendicularity
This IOQM pattern tests Equal bimedians force perpendicular diagonals, maximizing area = (1/2)d1 d2. Identify the structure before calculating, then use the method below.
Geometry problems are solved by converting the labelled figure into provable angle, length, ratio or locus relations.
Find the structure
Draw and label the exact figure first. Mark every given length, angle, parallel line or circle condition before selecting a theorem.
Build a valid route
Use one relation at a time—similarity, angle sum, cyclic-angle facts, coordinates or a ratio. Keep the target quantity visible throughout.
Verify the conclusion
Return to the exact wording and test the final conclusion against every stated condition. A clean calculation is not enough if it solves a different problem.
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- ✓Redraw the stated figure.
- ✓Mark known relations before calculating.
- ✓Check that the final value fits every condition.
A diagram suggests possibilities but does not prove them. Use only relations forced by the labels and stated conditions.
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