Question

1. If triangle ABC is congruent to triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correctvalue of x?(1) 5(3) 9(2) 7(4) 11

Answer 1

If both trianlges are congruent, we get that:

$BC=DE$

This way,

$2x-5=17$

Solving for x :

$\begin{gathered} 2x-5=17 \\ \rightarrow2x=17+5 \\ \rightarrow2x=22 \\ \Rightarrow x=11 \end{gathered}$

This way, we get that x = 11

Answer: Option 4