1) We know that the two triangles are similar because the ratio of the corresponding sides are the same:
For triangle XYZ:
[tex]\frac{3}{6}=\frac{1}{2}[/tex]
For triangle RST:
[tex]\frac{2}{4}=\frac{1}{2}[/tex]
2) XY is 6 units long.
4) The slope is:
[tex]\begin{gathered} \frac{3}{6}=\frac{1}{2} \\ We\text{ know this because the slope is the :} \\ \frac{\text{vertical change dimension}}{horizontal\text{ change dimension}} \end{gathered}[/tex]
