Question

In ∆ABC similar to ∆EDF and ∆ABC is not similar to∆DEF then which of the following is not true?
a)BC×EF= AC ×FD
b) AB×EF =AC×DE
C)BC×DE =AB×EF
d)BC×DE= AB×FD

Answer 1

Answer:

C

Step-by-step explanation:

by similarity property...

AB/ED= BC/DF = AC/EF

here in opt C

we fam take BC/DF = AC/EF

BC×EF = AC× DF

but it is wrong in opt c...

Answer 2

The false option in the given options is Option c) BC×DE = AB×EF

Given:

The ΔABC is similar to ∆EDF  

But ∆ABC is not similar to ∆DEF  

To find:

Which of the following is not true?

a)BC×EF= AC ×FD

b) AB×EF =AC×DE

C)BC×DE =AB×EF

d)BC×DE= AB×FD  

Solution:

Condition used:

When two triangles are similar to each other then the ratio of corresponding sides will be equal

Given that

ΔABC is similar to ∆EDF  

The ratio of the corresponding sides is

=> AB/ED = BC/DF = AC/EF

Take AB/ED = AC/EF  

=> AB×EF = AC× ED  

∴ Option b) AB×EF = AC×DE is true  

From BC/DF = AC/EF

=> BC × EF = DF × AC

∴ Option a) BC×EF= AC ×FD is true

From AB/ED = BC/DF  

=> AB × DF = ED × BC  

∴ Option d) BC×DE = AB×FD is true  

∆ABC is not similar to ∆DEF  

The ratio of the corresponding sides is  

=> AB/DE ≠ BC/EF ≠ AC/DF    

From AB/DE ≠ BC/EF  

=> BC × DE ≠ AB × EF  

∴ Option c) BC×DE = AB×EF is false

Therefore,

The false option in the given options is Option c) BC×DE = AB×EF

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