Use the image to answer the question.

Question

A coordinate plane's x-axis ranges from negative 1 to 5 and its y-axis ranges from negative 5 to 1, both by 1-unit increments. Points upper A, upper B, and upper C are plotted and form a triangle.

Find the coordinates of point C′ by dilating ΔABC by a scale factor of 2 with a center of dilation at the origin. Enter your response as an ordered pair.

(1 point)
Point C′ is at (
,
).

Answer 1

To find the coordinates of point C' after dilating point C by a scale factor of 2 with the center of dilation at the origin, you can use the following formula for dilation:

\[ C' = (k \cdot x, k \cdot y) \]

where \( (x, y) \) are the original coordinates of point C, and \( k \) is the scale factor.

Assuming point C has coordinates \( (x, y) \), and you've mentioned a scale factor of 2, then:

\[ C' = (2 \cdot x, 2 \cdot y) \]

As I don't have the specific coordinates of point C (since I cannot view the image), please substitute the coordinates of point C into this formula to find the coordinates of point C'.

For example, if point C were at (2, -3):

\[ C' = (2 \cdot 2, 2 \cdot -3) = (4, -6) \]

So be sure to replace \( (x, y) \) with the actual coordinates of point C to get your final answer for point C'.