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$1. Prove that the bisectors of the angles of base of an isoscles triangle intersect each other on its altitude.$

$2. Where will be the centre of a circle passing through three non-collinear points? And why?$

$5. In the given congruent triangles LMO and LNO$

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$1. Prove that the bisectors of the angles of base of an isoscles triangle intersect each other on its altitude.$

$4. If the given triangle \mathrm{ABC} is equilateral triangle and \overline{\mathrm{AD}} is bisector of angle \mathrm{A} then find the values of unknowns x^{\circ} \dot{y}^{\circ} and z^{\circ} .$

$2. The bisectors of \angle \mathrm{A} \angle \mathrm{B} and \angle \mathrm{C} of a rilateral \mathrm{ABCP} meet each other at point \mathrm{O} . Prove that the bisector of \angle \mathrm{P} will also pass through the point \mathrm{O} .$

$2. If \overleftarrow{\mathrm{CD}} is right bisector of line segment \overline{\mathrm{AB}} then(ii) \mathrm{m} \overline{\mathrm{AQ}}=$