My Amy is on the coordinate plane and does not pass through the origin. Line AB is dilated with a scale factor of three in a center of dilation at the origin to create line A’B’ . Describe the effects of the dilation online a BF line 8B was dilated with a scale factor of 1/3. How would your answer change?
When line AB is dilated with a scale factor of three from a center of dilation at the origin to create line A’B’, the points on line AB will move three times the distance away from the origin to create line A’B’. The original line AB will stretch and expand, forming a longer line in the direction away from the origin.
If line 8B is dilated with a scale factor of 1/3 from a center of dilation at the origin, the points on line 8B will move one-third of the distance towards the origin to create line 8B’. The original line 8B will shrink and contract, forming a shorter line in the direction towards the origin.
In summary, when dilated with a scale factor of three, a line will stretch and expand away from the origin. However, when dilated with a scale factor of 1/3, a line will shrink and contract towards the origin.
Line aB is on the coordinate plane and does not pass through the origin. Line AB is dilated with a scale factor of three in 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?
When line AB is dilated with a scale factor of three from a center of dilation at the origin to create line A’B’, the points on line AB will move three times the distance away from the origin to create line A’B’. The original line AB will stretch and expand, forming a longer line in the direction away from the origin. The angle between line AB and the x-axis will remain the same, but the distance between each point on the line and the origin will be multiplied by three.
If line AB is dilated with a scale factor of 1/3 from a center of dilation at the origin, the points on line AB will move one-third of the distance towards the origin to create line A’B’. The original line AB will shrink and contract, forming a shorter line in the direction towards the origin. Similar to the previous scenario, the angle between line AB and the x-axis will remain the same, but the distance between each point on the line and the origin will now be divided by three.
In summary, when dilated with a scale factor of three, a line will stretch and expand away from the origin. When dilated with a scale factor of 1/3, a line will shrink and contract towards the origin.