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ICSE Class 10 Mathematics Question 26 of 49

Multiple-Choice Questions — Question 26

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Question 26

In the given diagram, △ ABC and △ DEF (not drawn to scale) are such that ∠C = ∠F and ABDE=BCEF\dfrac{AB}{DE} = \dfrac{BC}{EF}, then

  1. △ ABC ~ △ DEF

  2. △ BCA ~ △ DEF

  3. △ CAB ~ △ DEF

  4. the similarity of given triangles cannot be determined.

In the given diagram, △ ABC and △ DEF (not drawn to scale) are such that ∠C = ∠F and ABDE = BCEF, then : Maths Competency Focused Practice Questions Class 10 Solutions.
Answer

Given,

⇒ ∠C = ∠F

Since, the sides containing the angle may or may not be proportional,

i.e., we don't know if ACDF\dfrac{AC}{DF} and BCEF\dfrac{BC}{EF} are equal or not equal.

∴ Similarity of given triangles cannot be determined.

Hence, Option 4 is the correct option.