Question

If you are given the points A (3,3), B (3,15), and C (5,3), what would be the new points for A', B', and C' given a scale factor of 2?

A. A' (6, 6), B' (6, 30), C' (10, 6)
B. A' (9, 9), B' (9, 45), C' (15, 9)
C. A' (1.5, 1.5), B' (1.5, 7.5), C' (2.5, 1.5)
D. A' (1, 1), B' (1, 5), C' (2, 1)

Answer 1

After applying a scale factor of 2 to the points A (3,3), B (3,15), and C (5,3), you get the new points A' (6,6), B' (6,30), and C' (10,6).

Step-by-step explanation:

If you are given the points A (3,3), B (3,15), and C (5,3), and you want to find the new points after scaling with a factor of 2, you multiply the x and y-coordinates of each point by 2. To find A', you take the x-coordinate of A (which is 3) and multiply it by 2 to get 6, and you do the same for the y-coordinate to also get 6, so A' becomes (6,6). Similarly, to find B', you multiply both coordinates by 2, turning (3,15) into (6,30). Finally, for C', the point (5,3) becomes (10,6) after scaling. So, the new points are A' (6, 6), B' (6, 30), and C' (10, 6).