Question

dilate the paper clip by a scale factor of 2 with the center of dilation at the origin.
40 point b is 4 cm from the origin.
the scale factor is 2, so point b
is 8 cm away from the origin.
what are the coordinates of point b?
point b is at ( , ).

Explanation:

Step1: Determine the coordinates of point \( B \)

From the graph, point \( B \) is at \( (4,0) \).

Step2: Apply the scale factor

Since the scale factor is \( 2 \), we multiply each coordinate of point \( B \) by \( 2 \).
For the \( x \)-coordinate: \( 4\times2 = 8 \)
For the \( y \)-coordinate: \( 0\times2=0 \)

Answer:

\((8,0)\)