Question

ABCD is a rectangle in which diagonal AC bisects angle A as well as angle seeds show that ABCD is a square and diagonal BD bisects Angle B as well as angle d​

Answer 1

Answer:

Step-by-step explanation:

in triangle ABC,

angle BAC=45

angle BCA=45

THEREFORE , AB=BC

WKT, in rectangle opposite side are equal

AB=CD

AD=BC

AB=BC=CD=AD

ALL SIDES ARE EQUAL

therefore ABCD is a square

in triangle BDC,

BD=DC

angle BDC= angle DBC

angle C=90

angle C+angle BDC+angle DBC = 180

90+2(angle BDC)=180

2(angle BDC)=90

angle BDC=45=angle DBC

angle B=90

angle B = 2(angle DBC)

angle D=90

angle BDC=45

angle D=2(angle BDC)

therefore, BD bisects angleB as well as angle D