Question

angics,
Diagonal AC of a parallelogram ABCD bisects
ZA (see Fig. 8.19). Show that
(1) it bisects 2 C also,
(i) ABCD is a rhombus.​

Answer 1

Step-by-step explanation:

AB is parallel to CD

angle=DCA=angle BAC(alternate angle)

AD is parallel to CB

angle DAC=angle BCA (alternate angle)

angle DAC=angle BAC(given)

angle DCA= angle BCA

diagonal AC also bisect angle C

ii)

angle DAC=angle DCA

AD=CD

in parallelogram opposite sides are equal

AD=BC=CD=AB

all sides are equal

ABCD is rhombus