Question

If ∆ABC = ∆DEF, then which ofthe following is NOT a truestatement?a. AC = DFb. B = Ec. FE = BAd. F = C

Answer 1

Step 1

Given

Required:

`To\text{ find which of the option is not a true statement}`

Step 2

Congruent triangles have the same shape and size. The length of the corresponding sides of congruent triangles and the size of corresponding angles are equal.

Step 3

Find the statement that is not true.

`\begin{gathered} \text{Option A } \\ AC\cong DF\text{ }---\text{ is true} \end{gathered}`
`\begin{gathered} \text{Option B} \\ \angle B\cong\angle E---\text{ is true} \end{gathered}`
`\begin{gathered} \text{Option C} \\ FE\cong BA---\text{ is not true} \\ \text{Option D} \\ \angle F\cong\angle C-----is\text{ true} \\ \end{gathered}`

Hence, the answer is option C