Question

I chose EF congruent to YX and angle F congruent to angle X but they were not or not complete

Answer 1

We are given that:

`\Delta\text{EFG}\cong\Delta YXZ.`

Now, recall that when given two congruent triangles the order matters, in this case, the corresponding sides are:

`\begin{gathered} EF\text{ and YX,} \\ FG\text{ and XZ,} \\ GE\text{ and ZY,} \end{gathered}`

and the corresponding angles are:

`\begin{gathered} E\text{ and Y,} \\ F\text{ and X,} \\ G\text{ and Z.} \end{gathered}`

Using the CPCTC we get that:

`\begin{gathered} EF\cong YX, \\ FG\cong XZ, \\ GE\cong ZY, \\ \angle E\cong\angle Y, \\ \angle F\cong\angle X, \\ \angle G\cong\angle Z. \end{gathered}`

Answer:

`\begin{gathered} EF\cong YX, \\ GF\cong ZX, \\ \angle F\cong\angle X. \end{gathered}`