Question

ABCD is a quadrilateral in which AD=BC and angleDAB=angleCAB;prove that
1.triangleABD=triangleBAC
2.BD=AC
3.angleABD=angleBAC​

Answer 1

Answer:

is this class 10 or 9 class maths work

Answer 2

Step-by-step explanation:

Statement                                           Reason

In triangle ABD and BAC,

AD=BC(S)                                              Given

angle DAB=angle ABC(A)                       Given

AB=AB(S)                                                Common side

Therefore, by SAS test

triangle ABD=triangle BAC.

BD=AC                                                  CPCTC(congruent parts of congruent     angle ABD=angle BAC.                          triangles are congruent)