What is the scale factor for the figures below?
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if ABCD were dilated by a scale factor of 1/2 with the center of dilation being the orgin, discribe the effects on ABCD. be sure to address side lengths, angle measures and relitave location. if ABCD were dilated by a scale factor of 2 how would you answer change?
The scale factor for the figures below is 1/2.
If ABCD were dilated by a scale factor of 1/2 with the center of dilation being the origin, the effects on ABCD would be as follows:
- Side lengths: Each side of ABCD would be half the length of the original sides.
- Angle measures: The angle measures of ABCD would remain the same as they do not change during dilation.
- Relative location: The location of each point of ABCD would be halved in distance from the origin.
If ABCD were dilated by a scale factor of 2, the effects would be the opposite:
- Side lengths: Each side of ABCD would be twice the length of the original sides.
- Angle measures: The angle measures of ABCD would remain the same as they do not change during dilation.
- Relative location: The location of each point of ABCD would be doubled in distance from the origin.