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

Answer:

see attached diagram

Step-by-step 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 $\dfrac{1}{2}.$ The dilation by a factor $\dfrac{1}{2}$ 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

$E\left(\dfrac{-5+(-1)}{2},\dfrac{3+3}{2}\right)\Rightarrow E(-3,3).$

2. The midpoint F of the segment AC has coordinates

$F\left(\dfrac{-5+(-1)}{2},\dfrac{7+3}{2}\right)\Rightarrow F(-3,5).$

3. The midpoint G of the segment AD has coordinates

$G\left(\dfrac{1+(-1)}{2},\dfrac{3+7}{2}\right)\Rightarrow G(0,5).$