Question

Chose the image that has the correct markings for the congruent statement.

Answer 1

We need to identify the image with the correct markings for the congruent statement:

`\Delta MLK\cong\Delta MLR`

Notice that the sequence of the letters in both triangles tells the corresponding angles, which are congruent. Also, it tells us the corresponding sides with the same lengths.

So, we must have:

`\begin{gathered} M\hat{L}K\cong M\hat{L}R \\ \\ K\hat{M}L\cong R\hat{M}L \\ \\ L\hat{K}M\cong L\hat{R}M \end{gathered}`

Also:

`\begin{gathered} \overline{LK}=\overline{LR} \\ \\ \overline{KM}=\overline{RM} \end{gathered}`

Since congruent angles or sides with the same lengths should have the same markings, the image that has the correct markings is:

Answer