Question

a) If in triangles ABC and DEF, AB/DE, then
they will be similar, when
A) angle B=angleE B)angleA=angleD. C)angleB=angleD. D)angleA=angle F​

Answer 1

Hey MATE!!!

Since in ΔABC and ΔEDF we are given that :

$\frac<strong><em>{</em></strong><strong><em>A</em></strong><strong><em>B</em></strong><strong><em>}</em></strong><strong><em>{</em></strong><strong><em>ED</em></strong><strong><em>}</em></strong><strong><em>=</em></strong><strong><em> </em></strong><strong><em>\</em></strong><strong><em>frac{</em></strong><strong><em>B</em></strong><strong><em>C</em></strong><strong><em>}</em></strong><strong><em>{</em></strong><strong><em>FE</em></strong><strong><em>}</em></strong>$

Hence, by converse of Basic Proportionality Theorem we can conclude that. ΔABC ≈ ΔEDF.

Hence, angle A = E

angle B = D

and angle C = F.

Hence, the correct option is (B) so as to full fill the condition of

ΔABC ≈ ΔEDF.

Hope it helps

HAKUNA MATATA :))