What Transformations Result in Congruent Figures?

There are three main types of congruence transformations:
  • Translation (a slide)
  • Rotation (a turn)
  • Reflection (a flip)

What type of transformation always results in congruent figures?

We now know that the rigid transformations (reflections, translations and rotations) preserve the size and shape of the figures. That is, the pre-image and the image are always congruent.

What transformation does not result in a congruent figure?

2 Answers By Expert Tutors

The only choice that involves changing the size of a figure is letter a) dilation and as a result, creates two figures that are NOT congruent. The other three choices merely "move" a shape to a new location (i.e. rotated, translated, or reflected) and result in a congruent figure.

Marcus Vance

Marcus Vance

Cybersecurity & Digital Privacy Researcher

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.