The figure below has a point marked with a large dot. First, translate the figure 8...
Check the final answer first, then review the worked steps.
Problem
The figure below has a point marked with a large dot. First, translate the figure 8 units to the left. Then, give the coordinates of the marked point in the original figure and the final figure.
Answer
\((5, 6), (-3, 6)\)
Step-by-step solution
- Identify the marked point in the original figure: The problem states there is a point marked with a large dot. Observing the graph, this point is located at the top-left vertex of the parallelogram. Its coordinates are $x=5$ and $y=6$. So, the point in the original figure is $(5, 6)$.
- Translate the figure 8 units to the left: A translation of 8 units to the left means we subtract 8 from the x-coordinate of every point in the figure. The y-coordinate remains unchanged.
- Calculate the new coordinates of the marked point: For the marked point $(5, 6)$, the new x-coordinate will be $5 - 8 = -3$. The y-coordinate remains $6$. Therefore, the new coordinates of the marked point after translation are $(-3, 6)$.
- State the coordinates of the marked point in the final figure: The marked point in the final figure is $(-3, 6)$.