If ΔUVW is dilated from point U by a scale factor of 2, which of the following equations is true about segment A prime B prime?

Triangle UVW is shown with point A lying on side UV and point B lying on side UW. Line AB is perpendicular to side UW.

segment A prime B prime = one half segment AB
segment A prime B prime = two segment AB
segment A prime B prime = segment AB
segment A prime B prime = three segment AB

Question

22-11-2021
Mathematics

contestada

If ΔUVW is dilated from point U by a scale factor of 2, which of the following equations is true about segment A prime B prime?

Triangle UVW is shown with point A lying on side UV and point B lying on side UW. Line AB is perpendicular to side UW.

segment A prime B prime = one half segment AB
segment A prime B prime = two segment AB
segment A prime B prime = segment AB
segment A prime B prime = three segment AB

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olayemiolakunle65 olayemiolakunle65 · Answer 1 · 2021-12-01T11:01:57+01:00

Dilation is a type of rigid transformation in which the size of a given shape is increased or decreased by a scale factor. The answer to the question is:

Option B. segment A prime B prime = two segment AB

Rigid transformation is a method required in changing the size and orientation of a given shape. One of the types of rigid transformation is dilation.

Dilation is a process in which the length of sides of a given shape is either increased or decrease with respect to a given scale factor.

Given that the scale factor of dilation is 2, then each length of sides of ΔUVW would be increased by twice its original length. This would affect the length of segment [tex]A^{I} B^{I}[/tex], so that it would now be twice of its initial length.

Thus, the answer is option B i.e segment A prime B prime = two segment AB.

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