Questions: 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′?

Transcript text: Point $B$ is 4 cm from the origin. The scale factor is 2, so point $B^{\prime}$ is 8 cm away from the origin. What are the coordinates of point $B^{\prime}$ ?

Solution

Solution Steps

Step 1: Identify the coordinates of point B

Point B is located at (4, 0) on the graph.

Step 2: Determine the scale factor

The scale factor given is 2.

Step 3: Calculate the coordinates of point B'

To find the coordinates of point B' after scaling, multiply the coordinates of point B by the scale factor:

x-coordinate: 4 * 2 = 8
y-coordinate: 0 * 2 = 0

Final Answer

Point B' is at (8, 0).

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