Given: ab || dc ∠a ≅ ∠d prove: δabc ≅ δdcb isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. what statement and reason could she have used?

answer: ∠acb=∠dbc [ alternate interior angles ]

or

∠abc=∠dcb [ alternate interior angles ]

step-by-step explanation:

if isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent.

she will write a pair of alternate interior angles made by parallel lines and they are equal.

given: ab || dc

∠a ≅ ∠d

to prove: δabc ≅ δdcb

proof: - in δabc and δdcb

∠a ≅ ∠d [given]

cb=cb [common]

∠acb=∠dbc [ alternate interior angles ]

⇒δabc ≅ δdcb   [ sas congruence postulate]

answer: asdfghjkl,mnbv

step-by-step explanation: