Question

In a trapezium ABCD, the two non-parallel sides are given as AD and BC. If AD = BC and DAB = CBA. Then prove that AC = BD and ​
say fast

Answer 1

Answer:

AC = BD , by SAS congruency criteria.

If you see, triangle DAB and triangle CAB

Angle DAB = Angle CAB ( Given )

AD = BC ( Given)

AB = AB ( Common in both the triangles )

So by SAS congruency criterian

Triangle DAB CONGRUENT TO Triangle CAB

SO by CPCT , we can say that

AC = BD