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In a parallelogram ABCD, E and F are the midpoints of sides AB and CD. Prove that the line segments AF and CE trisect the diagonal BD
Triangle ABC and triangle DEF are two triangles such that AB, BC are respectively equal and parallel to DE, EF. Show that AC is equal and parallel to DF
ABCD is a rectangle in which diagonal BD bisects <B. Show that ABCD is a square
P, Q and R are respectively , the midpoints of sides BC, CA and AB of a triangle ABC. PR and BQ meets X. CR and PQ meet at Y. Prove that XY = 1/4 BC
Points A and B are on the same sides of a line l. AD and BE are perpendiculars to l, meeting l at D and E respectively. C is the midpoint of AB. Prove that CD = DE
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