Question

Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor. IN NI -------4-2 LE M 122 HE Figure LMNO is VI congruent to Figure EFGH because rigid motions | be used to map Figure LMNO onto Figure ERGH. can Figure LMNO is dilations can similar to Figure EFGH because rigid motions and/or be used to map Figure LMNO onto Figure EFGH. The scale factor from Figure LMNO to Figure EFGH is 1

Answer 1

Given: the figures LMNO and EFGH

WE will find the length of each side of the figure LMNO

AS shown:

$\begin{gathered} LM=3 \\ MN=\sqrt[]{2^2+4^2}=\sqrt[]{20}=2\sqrt[]{5} \\ NO=\sqrt[]{6^2+2^2}=\sqrt[]{40}=2\sqrt[]{10} \\ OL=\sqrt[]{1^2+2^2}=\sqrt[]{5} \end{gathered}$

Now, we will find the length of each side of the figure EFGH:

$\begin{gathered} FG=4 \\ GH=\sqrt[]{3^2+3^2}=\sqrt[]{18}=3\sqrt[]{2} \\ HE=\sqrt[]{1^2+3^2}=\sqrt[]{10} \\ EF=\sqrt[]{2^2+4^2}=\sqrt[]{20}=2\sqrt[]{5} \end{gathered}$

By comparing the lengths of the corresponding sides

The figures are not congruent and not similar

So, the answer will be neither congruent nor similar