Question

If the correspondence ABC ⇔ EFD is a similarity in ΔABC and ΔDEF, then ...... of the following is not true.select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) BF/DF = AC/DE
(b) AB/DE = BC/DF
(c) AB/EF= AC/DE
(d) BC/DF = AB/EF

Answer 1

Hi ,

it is given that ,

∆ABC ~ ∆EFD

AB/EF = BC/FD = AC/DE

[ Ratio of corresponding sides are

Proportional ]

Therefore ,

Option ( b ) is wrong

I hope this helps you.

: )

Answer 2

by definition, for a given correspondence between the vertices of two triangles, if the corresponding angles of the triangles are congruent and the lengths of the corresponding sides are in proportion, then the given correspondence is a similarity between two triangles.

here Given, If the correspondence ABC ⇔ EFD is a similarity in ΔABC and ΔDEF.
then, AB/EF = BC/FD = CA/DE
hence, option (b) is not true.