# Class 9 Math Parallelograms and Triangles

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$ExampleThe bisectors of two angles on the same side of a parallelogram cut each other at right angles.$

$1. Prove that a rilateral is a parallelogram if its(a) opposite angles are congruent.$

$2. Take a line segment of length 5.5 \mathrm{~cm} and divide it into five congruent parts.[Hint: Draw an acute angle \angle \mathrm{BAX} . On \overline{\mathrm{AX}} take \overline{\mathrm{AP}} \cong \overline{\mathrm{PQ}} \cong \overline{\mathrm{QR}} \cong \overline{\mathrm{RS}} \cong \overline{\mathrm{ST}} .$

$2. In parallelogram A B C D (i) \mathrm{m} \overline{\mathrm{AB}}$