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##### 1. Prove that a rilateral is a parallelogram if its(b) diagonals bisect each other.

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

(iv) \mathrm{m} \angle 2 \cong \ldots \ldots

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}} .

3. Find the unknowns in the given figure.

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