Abcd is a rectangle in which diagonal ac bisects

Asked by admin @ 11/08/2021 in Math viewed by 291 People

"Question 8 ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Show that: (i) ABCD is a square (ii) diagonal BD bisects ∠B as well as ∠D.

Class 9 - Math - Quadrilaterals Page 146"

Answered by admin @ 11/08/2021

Rectangle: a quadrilateral in opposite sides are parallel and
equal and one angle is 90° is called a rectangle.

Square: a quadrilateral in
which all four sides are equal , both pairs of opposite sides are parallel and
one angle is a right angle is called a square

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.

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solution is in the attachment,....

Abcd is a rectangle in which diagonal ac bisects

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