Question

the figure below shows triangle mno on a coordinate plane. if the triangle is dilated using the rule (x, y)→(5x, 5y) with the origin as the center of dilation, what are the coordinates of vertex o of the dilated triangle mno? a (10, 30) c (30, 10) b (5, 5) d (11, 7)

Explanation:

Step1: Identify the coordinates of point O

From the graph, the coordinates of point O are $(6,2)$.

Step2: Apply the dilation rule

The dilation rule is $(x,y)\to(5x,5y)$. Substitute $x = 6$ and $y=2$ into the rule. For the x - coordinate of $O'$, we have $5\times6=30$. For the y - coordinate of $O'$, we have $5\times2 = 10$. So the coordinates of $O'$ are $(30,10)$.

Answer:

C. $(30,10)$