Question

if cb bisects ∠acd, what additional information could be used to prove △abc≅△dbc using sas? choose three correct answers.
a: m∠abc = 125 and ab≅db
b: ab = 29 cm
c: cd = 52 cm
d: △abd is isosceles with base ad
e: △acd is isosceles with base ad

Explanation:

Step1: Identify SAS requirements

Need two sides and included angle equal.

Step2: Common side and included angle

CB is common; CB bisects ∠ACD ⇒ ∠ACB=∠DCB.

Step3: Required additional side

Need AC=DC (sides adjacent to included angle).

Step4: Infer AC=DC from isosceles △ACD

△ACD with base AD ⇒ AC=DC (legs equal).

Answer:

△ACD is isosceles with base AD