English

In ΔABC and ΔDEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are ______.

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Question

In ΔABC and ΔDEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are ______.

Options

  • congruent but not similar

  • similar but not congruent

  • neither congruent nor similar

  • similar as well as congruent

MCQ
Fill in the Blanks
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Solution

In ΔABC and ΔDEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are similar but not congruent.

Explanation:

ΔABC ∼ ΔDEF   ...[By AA-similarity]

But ΔABC and ΔDEF are not congruent since their corresponding sides AB and DE are not equal.

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Chapter 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 455]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 37. | Page 455
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