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In ΔLMN and ΔPQR, ∠L = ∠P, ∠N = ∠R and MN = 2QR. Then the two triangles are
  • a)
    Congruent but not similar
  • b)
    Similar but not congruent
  • c)
    neither congruent nor similar
  • d)
    Congrunt as well as similar
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In ΔLMN and ΔPQR, ∠L = ∠P, ∠N = ∠R and MN ...
According to question,
ΔABC ~ ΔDEF,
AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm,
Therefore,
AB/DE = BC/EF = AC/DF
4/6 = BC/9 = AC/12
⇒ 4/6 = BC/9
⇒ BC = 6 cm
And
4/6 = AC/12
⇒ AC = 8 cm
Perimeter = AB + BC + CA
= 4 + 6 + 8
= 18 cm
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In ΔLMN and ΔPQR, ∠L = ∠P, ∠N = ∠R and MN ...
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In ΔLMN and ΔPQR, ∠L = ∠P, ∠N = ∠R and MN ...
Ans-b
because any of the congruency criterion is not applied there.So the triangles are similar but not congruent
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