Properties of a Parallelogram PDF
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This document explains the properties of parallelograms. It covers congruent sides and angles, supplementary angles, the bisecting diagonals, and how a diagonal divides the parallelogram into two congruent triangles.
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# Properties of a Parallelogram ## In a Parallelogram 1. Any two opposite sides are congruent. * In Parallelogram HOME: * HO = ME * HE = MO 2. Any two opposite angles are congruent. * In Parallelogram JUST: * ∠TJU = ∠UST * ∠JTS = ∠SUJ 3. Any two consecutive ang...
# Properties of a Parallelogram ## In a Parallelogram 1. Any two opposite sides are congruent. * In Parallelogram HOME: * HO = ME * HE = MO 2. Any two opposite angles are congruent. * In Parallelogram JUST: * ∠TJU = ∠UST * ∠JTS = ∠SUJ 3. Any two consecutive angles are supplementary. * In Parallelogram LIVE: * ∠L and ∠I * ∠I and ∠V * ∠V and ∠E * ∠E and ∠L * $m∠L + m∠I = 180°$ 4. The diagonals bisect each other. * In Parallelogram CARE: * AO ≃ EO * CO = RO 5. A diagonal divides the parallelogram into two congruent triangles. * In Parallelogram LOVE: * With diagonal EO: Δ LOE ≃ ΔVEO * With diagonal LV: Δ LEV ≃ ΔVOL
