![]() ![]() If the triangle has three sides equal to the three sides of the alternate triangle, then the bases of the particular triangle are congruent, which states the SSS postulate. Note: In the above problem we proved that two triangles are similar by SSS postulate. Hence proved that the base angles of an isosceles trapezium are equal. $\angle $ D = $\angle $ C (Congruence property) $\Delta $ ADC $ \cong $ $\Delta $ BCD (SSS postulate) So, we can say that by (side-side-side) SSS congruence the two triangles are congruent. JoAnn's School 133K subscribers Subscribe 13K views 7 years ago An explanation of how to do a proof of Isosceles Trapezoid congruent base angles. ![]() We know that the side DC is common in both the triangle implies, We know the diagonals are equal in an isosceles trapezium. Here we have to know that in an isosceles trapezium is equal on opposite sides. We know we can prove equal any angles or sides of two triangles if they are congruent.Īs congruency theorem is the method used to prove sides or angles are equal in the case of triangles. We have to join the diagonals BD and AC in the isosceles trapezium ABCD.īy drawing the diagonals inside the trapezium we can see that $\Delta $ ADC and $\Delta $ BCD are formed. The diagonals are of equal length in isosceles trapezoid.ĭraw an isosceles trapezium ABCD as drawn above. An isosceles trapezoid has one pair of parallel sides and another pair of congruent sides (means equal in length). Since, a trapezium is a cyclic quadrilateral with one pair of parallel sides. ![]()
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