Question

if in a quadrilateral abcd ac is perpendicular to bd bisects BD and angle ABC =45 degrees .what name can be used for ABCD ?

Answer 1

Answer:

 In quadrilateral ABCD we have

                  AC = AD

            and AB being the bisector of ∠A.

            Now, in ΔABC and ΔABD,

                  AC = AD

[Given]

                  AB = AB

[Common]

∠CAB = ∠DAB [∴ AB bisects ∠CAD]

            ∴ Using SAS criteria, we have

                  ΔABC ≌ ΔABD.

            ∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.

            ∴ BC = BD.

Answer 2

Answer:

ABCD is a square

Step-by-step explanation: