Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • If Delta ABC sim Delta EDF and \Delta ABC is not similar to Delta DEF then which of the following is not true? (A) BC . EF = A C. FD (B) AB . EF = AC . DE (C) BC . DE = AB . EF (D) BC . DE = AB . FD

 If \Delta ABC \sim \Delta EDF and \Delta ABC is not similar to \Delta DEF, then which of the following is not true?

(A) BC . EF = A C. FD       (B) AB . EF = AC . DE

(C) BC . DE = AB . EF      (D) BC . DE = AB . FD

Answers (1)

Answer : [C]

Given : \Delta ABC\sim \Delta EDF

\therefore \frac{AB}{ED}=\frac{BC}{DF}=\frac{AC}{EF}

Taking the first two terms we get

\therefore \frac{AB}{ED}=\frac{BC}{DF}

by cross multiply we get

AB.DF=BC.ED

Hence option D is correct

Now taking the last two terms we get

\frac{BC}{DF}=\frac{AC}{EF}\Rightarrow BC.EF=DF.AC {By cross multiplication}

Hence option (A) is also correct

Now taking first and last terms, we get

\frac{AB}{ED}=\frac{AC}{EF}\Rightarrow AB.EF=AC.ED {By cross multiplication}

Hence option (B) is also correct

By using congruence properties we conclude that only option C is not true.

Posted by

infoexpert23

View full answer

Similar Questions

Latest Question