Question

Dilate point S by a scale factor of 1/2

Answer 1

The location of the image of point S is the midpoint of the line segment RS. A representation of the geometric system and the rigid transformation is shown in the image attached below.

How to find the coordinates of the image of point S by using a transformation rule

Herein we know the center of dilation and the location of point S, which must be dilated by a rigid transformation, that is, a transformation applied on the point such that its Euclidean distance is conserved. The operation is defined by the following equation:

RS' = k · RS

S'(x) - R(x) = k · S(x) - k · R(x)

Where k is the scale factor.

If we know that R(x) = 0, S(x) = 6 and k = 1 / 2, then the location of the point S' is:

S'(x) - 0 = (1 / 2) · 6 - 0

S'(x) = 3

To learn more on rigid transformations: brainly.com/question/1761538

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