Question

If AB/DE=BC/DF in triangle ABC And triangle DEF both of these triangle will be similar if

Answer 1

$In \: \triangle ABC \:and \:\triangle DEF ,$

$\frac{AB}{DE} = \frac{BC}{DF} \: ---(1)(given)$

$\underline { \blue { Property \:of \: Similar \:Triangles :}}$

Two triangles are said to be similar if their ,

i) Corresponding angles are equal ,

ii) Corresponding sides are proportional. */

$Here, \frac{AB}{DE} = \frac{BC}{EF} \: --(2)$

/* From (1) and (2) */

$If \: DE = EF \:then\: \triangle ABC \sim \triangle DEF$

Therefore.,

$\green { If \: DE = EF \implies \triangle ABC \sim \triangle DEF}$

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Answer 2

Answer:

if a pair of linear equations is inconsistent then the lines representing them will be