Question

Graph the image of the figure after a dilation with a scale factor of 1/2 centered at (−1, 3) . Use the polygon tool to graph the triangle by connecting all its vertices.

Answer 1

0,5 -3,5 -3,3 is the answer

Explanation:

Answer 2

see attached diagram

Explanation:

Given triangle has vertices at points B(-5,3), C(-5,7) and D(1,7). The center of dilation is point A(-1,3) and the factor of dilation is
`(1)/(2).` The dilation by a factor
`(1)/(2)` decreases lengths AB, AC and AD twice, then image triangle vertices are midpoints of segments AB, AC and AD.

1. The midpoint E of the segment AB has coordinates

`E\left((-5+(-1))/(2),(3+3)/(2)\right)\Rightarrow E(-3,3).`

2. The midpoint F of the segment AC has coordinates

`F\left((-5+(-1))/(2),(7+3)/(2)\right)\Rightarrow F(-3,5).`

3. The midpoint G of the segment AD has coordinates

`G\left((1+(-1))/(2),(3+7)/(2)\right)\Rightarrow G(0,5).`