Question

If triangle ABC is similar to triangle EDF and triangle ABC is not similar to triangle d e f then which of the following is not true

Answer 1

triangle abc is similar to triangle edf is false because if it is similar ..then the second statement will be true

hope.it helps

Answer 2

Use SSS Similarity Rule

Explanation:

As per the SSS Similarity rule of similar triangles, sides of both the triangles are proportional to each other, which makes their angles also equal.

∆ABC ∼ ∆EDF

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

(By similarity property)

Taking first two terms, we get

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

⇒ AB.DF = ED.BC

So, option (d) is true

Taking last two terms, we get

$\frac {BC}{DF} = \frac {AC}{EF}$

⇒ BC.EF = AC.DF

So, option (A) is true

Taking first and last terms, we get,

$\frac {AB}{ED} = \frac {AC}{EF}$

⇒ AB.EF = ED.AC

Hence, option (b) is true.