Question

ABCD is a rhombus. AC is a diagonal.
i) Show three pairs of equal parts giving reasons in ∆ ABC and ∆ ADC.
ii)Is∆ ≅∆.Givereason.
iii) Is ∠ = ∠. Give reason

Answer 1

Answer:

I AB = AD ( SIDES OF RHOMBUS ARE EQUAL

II ) SAME AS BC = BD

AND ANGLE B = ANGLE D

2 AND BY THESE THREE CONDITIONS

Is∆ ≅∆. is proved

3) opposite angle of a RHOMBUS ARE EQUAL

note : ANGLE B = ANGLE D

you can also use AC = AC

and after proving them congruent

ANGLE B = ANGLE D will be proved