Triangles Question - CBSE

Question

If in triangles $ABC$ and $DEF$, $\dfrac{AB}{DE} = \dfrac{BC}{FD}$, then they will be similar, when:
(a) $\angle B = \angle E$
(b) $\angle A = \angle D$
(c) $\angle B = \angle D$
(d) $\angle A = \angle F$

Accepted Answer

Sides involved are $AB, BC$ in $\Delta ABC$ (included angle $\angle B$) and $DE, FD$ in $\Delta DEF$ (included angle $\angle D$). [0.5 Mark]
For SAS similarity, included angles must be equal: $\angle B = \angle D$. [0.5 Mark]

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🎯 Official CBSE Marking Scheme:
Identifying included angles for SAS similarity: 0.5 Mark
Matching $\angle B = \angle D$: 0.5 Mark

Question:

Step-by-Step Solution

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