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Triangles — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
If in two triangle $\text{ABC}$ and $\text{DEF}, \angle\text{A}=\angle\text{E},\ \angle\text{B}=\angle\text{F},$ then which of the following is not true?
  • A
    $\frac{\text{BC}}{\text{DF}}=\frac{\text{AC}}{\text{DE}}$
  • ✓
    $\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{DF}}$
  • C
    $\frac{\text{AB}}{\text{EF}}=\frac{\text{AC}}{\text{DE}}$
  • D
    $\frac{\text{BC}}{\text{DF}}=\frac{\text{AB}}{\text{EF}}$
✓

Answer

Correct option: B.
$\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{DF}}$

In $\triangle\text{ABC}$ and $\triangle\text{DEF}$
$\angle\text{A}=\angle\text{E}$
$\angle\text{B}=\angle\text{F}$
$\therefore\triangle\text{ABC}$ and $\triangle\text{DEF}$ are similar triangles
Hence $\frac{\text{AB}}{\text{EF}}=\frac{\text{BC}}{\text{FD}}=\frac{\text{CA}}{\text{DE}}$
Hence the correct answer is $B.$

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