Question

ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C. Show that

(1) ABCD is a square

(2) diagonal BD bisects angle B as well as angle D

Answer 1

In Congruent Triangles corresponding parts
are always equal and we write it in short CPCT i e, corresponding parts of Congruent
Triangles.

ASA(angle side angle):

Two Triangles are congruent if two angles
and the included side of One triangle are equal to two angles & the
included side of the other triangle.



SSS(side side side):

Three sides of One triangle are equal to
the three sides of another triangle then the two Triangles are congruent.