Question

the transformation that involves turning a figure around a fixed point is called
transformations such as translations, reflections, and rotations do not alter the and shape of a figure.
a transformation that changes the size of a figure but not its shape is called
to verify that two figures are congruent, the lengths of their corresponding must be equal.
reflecting a point over the line y = x involves swapping its

Explanation:

1. Rotation is the transformation of turning a figure around a fixed - point.
2. Translations, reflections, and rotations are rigid transformations that preserve the size and shape of a figure.
3. Dilation changes the size of a figure but not its shape.
4. For congruent figures, the lengths of corresponding sides must be equal.
5. Reflecting a point over the line $y = x$ swaps its $x$ and $y$ coordinates.

Answer:

1. Rotation
2. Size
3. Dilation
4. Sides
5. $x$ and $y$ coordinates