Question

(Congruency Chapter)

a. prove:
AC || DE
DB = FC​

Answer 1

Answer:

∆ DFE is congruent to ∆CBA

by RHS congruency criteria

so

angle D = angle C

angle F = angle B = 90°

angle E = angle A

DF = BC

AB = FE

these all are by CPCT

if angle D = angle C

this makes AC ll DE

because these angles are alternate interior angles....

and

if DF = BC

DF - BF = BC - BF

DB = FC

hope this will help you

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