The following sets of points are the vertices of figure and their dilation image

Question

The following sets of points are the vertices of figure and their dilation images. For every two sets of points, give the scale factor of the dilation. C(0, 0), D(0, 4), E(6, 0) C'(0, 0), D'(0, 10), E'(15, 0) S(0, 0), T(0, -3), U(-3, -6) S'(0, 0), T'(0, -1), U'(-1, -2) For each of figures, describe the two transformations used to create the image. Draw Delta GHI with vertices G(0, 0), H(0, 6), and I(3, 0) on a coordinate plane. Draw the dilation images of Delta GHI with the center of dilation at the origin and scale factors of 2 and 1/2. Find the area of Delta GHI, its enlargement, and its reduction.

Explanation / Answer

Here

first we do a translation of the image to the Left Hand Side.

Then we can see that there is a dialation with a scale factor of 2.

As initially in ABCD the length of the rectangle is 4 unit and width is 2 unit.

In the Final figure the length is 6 unit and width is 4 unit.

The scale factor is 2

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