Question

In a triangle ABC with $\angle A\angle B\angle C$ , points D, E, F are on the interior of segments BC, CA, AB respectively. Which of the following triangles Cannot be similar to ABC

• A. Triangle ABD
• B. Triangle BCE
• C. Triangle CAF
• D. Triangle DEF

Answer 1

The correct option is A Triangle ABD

Triangle ABC can not be similar to triangle ABD

for similarity of triangle the order of the sides matter

$for\Delta ABC\sim \Delta ABD$

$\frac{AB}{AB}=\frac{BC}{BD}=\frac{AC}{BD}$ [ratios of corresponding sides]

$\therefore \frac{1}{1}=\frac{BC}{BD}=\frac{AC}{BD}$

$\Rightarrow$ $BC=BD$

Not possible as D lies on BC