Which transformation(s)preserve congruence?(select all that apply)

## Step 1<br />In geometry, congruence refers to the similarity of two figures in shape and size. This means that the two figures are identical in shape and size, but their orientation or position may differ.<br /><br />## Step 2<br />There are several transformations that can preserve congruence. These include translations, reflections, and rotations. <br /><br />### **Translations** <br />A translation is a transformation that moves every point of a figure the same distance in the same direction. This transformation does not change the shape or size of the figure, hence it preserves congruence.<br /><br />### **Reflections** <br />A reflection is a transformation that flips a figure over a line, creating a mirror image. This transformation also does not change the shape or size of the figure, hence it preserves congruence.<br /><br />### **Rotations** <br />A rotation is a transformation that turns a figure around a point. This transformation also does not change the shape or size of the figure, hence it preserves congruence.<br /><br />## Step 3<br />However, not all transformations preserve congruence. For example, a dilation (stretching or shrinking) or a shearing (sliding) transformation would not preserve congruence because they alter the size of the figure.