Question

Graph the image of the figure after a dilation with a scale factor of centered at (1, - 2).

Use the polygon tool to graph the triangle by connecting all its vertices.
Polygon
+Move
-10-9-8-7
Y
10
9
8
6
10
4
3
2
-3-2-1-9
-2
7
Undo
y
4
Redo
x Reset
10

Answer 1

The plot of the triangle showing the dilation is attached

What is dilation as used in geometry

Dilation in geometry is a transformation that changes the size of a figure without altering its shape or orientation.

The transformation involves scaling all points of the figure with respect to a fixed center called the center of dilation (G).

The scale factor, (in this case 1/3) which is a constant factor by which all distances from the center are multiplied, determines the degree of enlargement or reduction.

When the scale factor, k is 0 < k < 1, we have reduction, as in the figure.