Line AB is on the coordinate plane and does not pass through the origin. Line AB
is dilated with a scale factor of 3 and a center of dilation at the origin to create line A'B'. Describe the effects of the dilation on Line AB. If line AB was dilated with a scale factor of 1/3, how would your answer change? Answer in a 4 sentence paragraph at a high school writing level.
1 answer
When Line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A'B', each point on Line AB is moved three times farther away from the origin along the same line. This results in Line A'B' being three times longer than Line AB, while still maintaining the same slope and direction. If Line AB was dilated with a scale factor of 1/3 instead, each point on Line AB would be moved one third of the original distance away from the origin, resulting in Line A'B' being one third of the original length of Line AB. The slope and direction of Line A'B' would remain the same as Line AB but would be one third the length.
1 answer