Question

Given: Quadrilateral ABCD with
_
AB ≅
_
CD ,
_
AD ≅
_
BC , and diagonal
_
BD is drawn
Prove: ∠BDC ≅ ∠ABD

Answer 1

the opposite sides of a quadrilateral are congruent. this means that the quadrilateral in question is a parallelogram.
this means that the opposite angles are equal.

Answer 2

okay so that the answer or no

Answer 3

no not yet. we have only proved ABC = ADC

Answer 4

oh okay

Answer 5

but since AB and DC are parallel to each other, the opposite angles of the diagonal going through two parallel lines are congruent
therefore ABD = BDC

Answer 6

so then the angle are congruent by alternate interiot angles

Answer 7

yes

Answer 8

okay so then thats all

Answer 9

ok thanxz