Question

triangle lmn is dilated according to the rule d_0, 2→(2x, 2y) to create the image triangle lmn, which is not shown. where is the vertex m located? plot the point on the coordinate grid.

Explanation:

Step1: Identify the coordinates of point M

From the graph, the coordinates of point \( M \) are \( (1,-4) \).

Step2: Apply the dilation rule \( (x,y)\to(2x,2y) \)

For the \( x \)-coordinate: \( 2\times1 = 2 \)
For the \( y \)-coordinate: \( 2\times(-4)=-8 \)

Answer:

The coordinates of \( M' \) are \( (2, - 8) \). Plot the point \( (2,-8) \) on the coordinate grid.