Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters.
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

A. m∠ABC = 125° and AB ≅ DB
B. ΔACD is isosceles with base AD
C. ΔABD is isosceles with base AD
D. CD = 52 cm
E. AB = 29 cm