Question

Which sequence of transformations would result in a figure congruent to the original figure?

A) a reflection across the y-axis, and then a reduction by a scale factor of 4
B) an enlargement by a scale factor of 4, and then a 180° counterclockwise rotation about the origin
C) a reflection across the x-axis, and then a translation 2 units down
D) a translation 5 units to the left, and then a dilation by a scale factor of 4

Answer 1

The correct sequence of transformations that would result in a congruent figure is a translation 5 units to the left, and then a dilation by a scale factor of 4.

Step-by-step explanation:

The correct sequence of transformations that would result in a figure congruent to the original figure is D) a translation 5 units to the left, and then a dilation by a scale factor of 4.

Let's break down the steps:

1. Translation 5 units to the left: This will move the figure horizontally to the left by 5 units without changing its shape or size.
2. Dilation by a scale factor of 4: This will enlarge the figure by making each side 4 times longer while preserving the shape.

By performing these two transformations, the resulting figure will be congruent to the original figure.