The figure below has a point marked with a large dot. First, translate the figure 7...
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 7 units up. Then, give the coordinates of the marked point in the original figure and the final figure.
Answer
Point in original figure: $(-3, -5)$. Point in final figure: $(-3, 2)$
Step-by-step solution
- Identify the coordinates of the marked point in the original figure: Observe the graph. The marked point is located at the vertex of the right angle of the triangle. Its x-coordinate is -3 and its y-coordinate is -5. So, the coordinates are $(-3, -5)$.
- Translate the figure 7 units up: Translating a figure 7 units up means adding 7 to the y-coordinate of each point in the figure. The x-coordinate remains unchanged.
- Calculate the new coordinates of the marked point: Apply the translation to the original coordinates of the marked point $(-3, -5)$. The new x-coordinate is $-3$. The new y-coordinate is $-5 + 7 = 2$. So, the coordinates of the marked point in the final figure are $(-3, 2)$.