MCQ
If for $\triangle \text{ABC}$ and $\triangle\text{DEF},$ the correspondence $CAB ↔ EDF$ gives a congruence, then which of the following is not true?
- A$AC = DE$
- ✓$AB = EF$
- C$\angle\text{A}=\angle\text{D}$
- D$\angle\text{C}=\angle\text{E}$
✓
Answer
Correct option: B.
$AB = EF$
Two figures are said to be congruent, if the trace copy of figure $1$ fits exactly on that of:
Now, if $\triangle\text{ABC}$ and $\triangle\text{DEF}$ are congruent, then
$AB = DF, BC = EF$
$AC = DE$, $\angle\text{A}=\angle\text{D}$
$\angle\text{B}=\angle\text{F},$ $\angle\text{ C}=\angle\text{E}$
Hence, option (b) is not true.
Now, if $\triangle\text{ABC}$ and $\triangle\text{DEF}$ are congruent, then
$AB = DF, BC = EF$
$AC = DE$, $\angle\text{A}=\angle\text{D}$
$\angle\text{B}=\angle\text{F},$ $\angle\text{ C}=\angle\text{E}$
Hence, option (b) is not true.
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