Question

Each of the options below show a point before and after that point was transformed by a dilation centered at the origin. Which of the points below was dilated by a scale factor of 2? Select all that apply. A) Before: (2, 4), After: (4, 8) B) Before: (1, 5), After: (2, 10) C) Before: (4, 3), After: (6, 5) D) Before: (3, 4), After: (6, 8)

Answer 1

The points that were dilated by a scale factor of 2 are A) Before: (2, 4), After: (4, 8) and D) Before: (3, 4), After: (6, 8), as their coordinates were both doubled after the dilation.

Step-by-step explanation:

To determine which points were dilated by a scale factor of 2, we need to compare the coordinates of the point before and after the transformation. A dilation by a scale factor of 2 will double the coordinates of the point.

A) Before: (2, 4), After: (4, 8) - The x and y coordinates are both multiplied by 2.

B) Before: (1, 5), After: (2, 10) - The x coordinate is multiplied by 2, but the y coordinate is multiplied by 4. This is not a consistent scale factor of 2.

C) Before: (4, 3), After: (6, 5) - The x and y coordinates are not consistently multiplied by 2. This is not a dilation by a scale factor of 2.

D) Before: (3, 4), After: (6, 8) - The x and y coordinates are both multiplied by 2.

Therefore, the points that were dilated by a scale factor of 2 are A) and D).

Answer 2

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Step-by-step explanation: