Question

Which are the coordinates of the vertices after a dilation with a scale factor of 2 and centeredat the origin. Coordinates:(1, -3), (2, -2), (1, -1), (-2,-2)

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

`\begin{gathered} (1,-3),(2,-2),(1,-1),(-2,-2) \\ \\ scale\text{ }factor=2 \end{gathered}`

STEP 2: Dilate the given coordinates

Dilating by a scale factor means that we multiply the scale factor by each of the values of the coordinates. This is done as seen below:

`\begin{gathered} (1,-3)\rightarrow(2,-6) \\ (2,-2)\rightarrow(4,-4) \\ (1,-1)\rightarrow(2,-2) \\ (-2,-2)\rightarrow(-4,-4) \end{gathered}`

Hence, the new coordinates become:

`(2,-6),(4,-4),(2,-2),(-4,-4)`