SOLUTION: In quadrilateral ABCD, two triangles are formed by drawing the diagonal BD. In this quadrilateral, < A = < C and < ADB = < DBC. Prove that the triangles are congruent. Be sure to

Algebra ->  Formulas -> SOLUTION: In quadrilateral ABCD, two triangles are formed by drawing the diagonal BD. In this quadrilateral, < A = < C and < ADB = < DBC. Prove that the triangles are congruent. Be sure to      Log On


   

Question 1152602: In quadrilateral ABCD, two triangles are formed by drawing the diagonal BD. In
this quadrilateral, < A = < C and < ADB = < DBC. Prove that the triangles are
congruent. Be sure to include all the steps of a proof.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
In quadrilateral ABCD, two triangles are formed by drawing the diagonal BD. In
this quadrilateral, < A = < C and < ADB = < DBC. Prove that the triangles are
congruent. Be sure to include all the steps of a proof.
< ABD = < CDB because If two angles of a triangle are equal, the third angles
are also equal.

BD = BD  anything is equal to itself (reflexive property)

< ADB = < DBC  is given

The triangles are congruent by ASA.

Now write that up as a 2-column proof.

Edwin