mroberts7570
Answered

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Line segment SU is dilated to create S'U' using point Q as the center of dilation.

The scale factor of the dilation is:

Line Segment SU Is Dilated To Create SU Using Point Q As The Center Of Dilation The Scale Factor Of The Dilation Is class=

Sagot :

If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.

Following points can be concluded from the given conditions.

  • It is shown in the figure that the distance from Q to S is 4 unit, and the distance from Q to S' is 8 unit.
  • The distance from Q to U is 5 unit and the distance from Q to U' is 10 unit.
  • U and S both are the mid-points of the line segment QU' and QS' respectively.

The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To know more about the scale factor, please refer to the link:

https://brainly.com/question/20449840

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