Question

Which sequence of transformations produces an image that is not congruent to the original figure?

A. A translation of 3 units to the left followed by a reflection across the x-axis
B. A rotation of 90 clockwise followed by a translation of 6 units to the left
C. A translation of 5 units to the left followed by a dilation of a factor of 2
D. A reflection across the y-axis followed by a rotation of 180counterclockwise

Answer 1

Option C.

All the other options deal with transformatios that just move the figure without modifying their dimmenssions.

When you dilate a figure you increase the dimmenssions, so the result is a different figure.

Answer 2

Option C

Explanation:

Whenever transformation is done we have either reflection on a given line, or rotation about a fixed point or a dilation by a scale factor

Whenever transformations are reflections over a line, the original figure size will not be altered and hence we have congruent figures.

Similarly for rotations also original figures will not be altered

But whenever a dilaton by a scale factor other than 1 is done, we have either shrink or dilation of original figure.

So there is a chance of getting similar figure but not congruent figure.

So here we find option C is right answer