Angle Bisector – Definition -Examples The angle(interior) bisector of an angle is a line or line segment that divides the angle into two (congruent)equal parts. The angle bisector is also called the internal angle bisector. In ∠ABC, BD is angle bisector of ∠ABC. In above figure BD is bisect the ∠ABC. ∵ ∠ABC = 900∴ ∠ABD = 450and ∠DBC = 450 ∠ABD and ∠DBC […]
Read More →Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]
Read More →Angles opposite to equal sides of an isosceles triangle are equal. Given: A isosceles triangle △ ABC in which AB = AC, andangles opposite to equal sides of triangle are ∠B and ∠C. To prove: We need to prove that ∠B and ∠C, are equal ∠B = ∠C. Construction: Draw the bisector […]
Read More →The side opposite to equal angles of a triangle are equal. Given: A triangle △ ABC in which angles opposite to sides AC and AB of are ∠B and ∠C, and ∠B = ∠C. To prove: We need to prove that sides AB and AC, are equal AB = AC. Construction: Draw […]
Read More →Circumscribes and Inscribed Circles Circumscribed Circle The circumscribed circle is one and only one circle that always passes through all three vertices (corners) of the triangle. The center of the circumscribed circle is a point where all the three perpendicular bisectors of the triangles sides are meet. The center of the circumscribed circle is known ascircumcenter of the triangle. […]
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