Question

Following facts are given ABCD is a parallelogram

AE = 6 cm
AD = 14 cm
A.F = 5 cm
EF = 3 cm
A. name two triangles that are similar and explain answer
B. Find FC
C. Find DC
D. Find EC

Answer 1

Triangle EDC is similar to Triangle CBF by angle angle. Angle B is congruent to angle D because in a parallelogram opposite angles are congruent. Angle BFC is congruent to angle ECD because parallel lines imply alternate interior angles are congruent. FC=7 DC=16 2/3 EC=10