Question

dilate the triangle with a scale factor of 3. what are the new coordinates? *

Explanation:

Step1: Identify original coordinates

First, find the original coordinates of the triangle's vertices. From the graph:

• Vertex 1: \((0, 4)\)
• Vertex 2: \((6, 4)\)
• Vertex 3: \((6, 6)\)

Step2: Apply dilation formula

The dilation formula for a scale factor \(k\) centered at the origin (assuming center is origin here, as the first vertex is on the y - axis and the dilation is likely centered at the origin) is \((x,y)\to(kx,ky)\). Here, \(k = 3\).

For \((0,4)\):
\(x'=3\times0 = 0\), \(y'=3\times4=12\), so new coordinate is \((0,12)\)

For \((6,4)\):
\(x'=3\times6 = 18\), \(y'=3\times4 = 12\), so new coordinate is \((18,12)\)

For \((6,6)\):
\(x'=3\times6=18\), \(y'=3\times6 = 18\), so new coordinate is \((18,18)\)

Answer:

The new coordinates of the dilated triangle are \((0, 12)\), \((18, 12)\), and \((18, 18)\)