Question

question 17 of 40
which sequence of transformations produces an image that is not congruent to the original figure?
a. a translation of 4 units to the left followed by a dilation of a factor of 3
b. a reflection across the x-axis followed by a rotation of 180° counterclockwise
c. a translation of 6 units to the left followed by a reflection across the x-axis
d. a rotation of 90° clockwise followed by a translation of 4 units to the left

Explanation:

Congruent figures have identical shape and size, preserved by rigid transformations (translation, reflection, rotation). Dilation changes a figure's size, so it produces a non-congruent image.

• Option A includes dilation (scale factor 3), which alters size.
• Options B, C, D only use rigid transformations, preserving congruence.

Answer:

A. A translation of 4 units to the left followed by a dilation of a factor of 3