Which transformation or sequence of transformations would produce an image that is not congruent to its preâ€image? A translation followed by a reflection A rotation of 90 degrees about the origin A dilation followed by a rotation A translation of (x 3, y 4).

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21-12-2021
Mathematics

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Which transformation or sequence of transformations would produce an image that is not congruent to its preâ€image? A translation followed by a reflection A rotation of 90 degrees about the origin A dilation followed by a rotation A translation of (x 3, y 4).

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keshavgandhi04 keshavgandhi04 · Answer 1 · 2021-12-29T12:45:39+01:00

The dilation is the transformation that would produce an image that is not congruent to its pre-image and this can be determined by using the rules of transformation.

The following steps can be used in order to determine the correct transformation:

Step 1 - Let a triangle ABC whose vertices are A(1,1), B(3,3), and C(1,6).

Step 2 - Now, let the dilation factor be '2'.

Step 3 - So, after dilation the coordinates of the triangle becomes A'(3,3), B'(9,9), and C'(3,18).

From the above steps, it can be concluded that dilation is the transformation that would produce an image that is not congruent to its pre-image.

Therefore, the correct option is C).

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