Question

A line segment has the given endpoints. Use the scale factor to write the ordered pairs after the dilation. A(1,1), B(3,1), and k = 2

A. A(2,2), B(6,2)
B. A(4,4), B(6,2)
C. A(0,0), B(-3,2)
D. A(2,2), B(4,6)

Answer 1

After using the scale factor of 2 to dilate points A(1,1) and B(3,1), the resulting coordinates are A(2,2) and B(6,2), which corresponds to option A.

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The scale factor (k) determines how much larger or smaller the image will be compared to the original. To find the coordinates of the dilated points A and B with a scale factor of 2, you simply multiply each coordinate of the original points by 2.

For point A(1,1), the dilated point will be A'(1×2, 1×2) = A'(2,2). Similarly, for point B(3,1), after dilation with a scale factor of 2, the coordinates will be B'(3×2, 1×2) = B'(6,2).

Therefore, the answer to the question is A. A(2,2), B(6,2).