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If in Two Triangle Abc and Def, ∠A = ∠E, ∠B = ∠F, Then Which of the Following is Not True? (A) B C D F = a C D E (B) a B D E = B C D F (C) a B E F = a C D E (D) B C D F = a B E F - Mathematics

MCQ

If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?

(a)\[\frac{BC}{DF} = \frac{AC}{DE}\]

(b)\[\frac{AB}{DE} = \frac{BC}{DF}\]

(c)\[\frac{AB}{EF} = \frac{AC}{DE}\]

(d)\[\frac{BC}{DF} = \frac{AB}{EF}\]

Options

  • \[\frac{BC}{DF} = \frac{AC}{DE}\]
  • \[\frac{AB}{DE} = \frac{BC}{DF}\]
  • \[\frac{AB}{EF} = \frac{AC}{DE}\]
  • \[\frac{BC}{DF} = \frac{AB}{EF}\]
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Solution

 In ΔABC and ΔDEF

`∠ A = ∠ E`

`∠ B = ∠ F`

∴ ΔABC and ΔDEF are similar triangles.

Hence `(AB)/(EF)=(BC)/(FD)=(CA)/(DE)`

Hence the correct answer is (b).

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 31 | Page 133
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