Question

translate the figure 1 unit right and 7 units down. plot all of the points of the translated figure. you may click a plotted point to delete it.

Explanation:

Step1: Find the original coordinates

Assume the three vertices of the triangle have coordinates \((x_1,y_1)\), \((x_2,y_2)\), \((x_3,y_3)\). From the graph (assuming the left - most point is \((2,6)\), the top - most point is \((4,1)\), and the right - most point is \((7,5)\))

Step2: Apply the translation rule

The translation rule for moving 1 unit right and 7 units down is \((x,y)\to(x + 1,y-7)\)

• For the point \((2,6)\): \(x=2+1 = 3\), \(y=6 - 7=-1\), so the new point is \((3,-1)\)
• For the point \((4,1)\): \(x=4 + 1=5\), \(y=1-7=-6\), so the new point is \((5,-6)\)
• For the point \((7,5)\): \(x=7+1 = 8\), \(y=5 - 7=-2\), so the new point is \((8,-2)\)

Answer:

Plot the points \((3,-1)\), \((5,-6)\) and \((8,-2)\) and connect them to form the translated triangle.