Question

1. the transformation that involves turning a figure around a fixed point is called _______________.
2. transformations such as translations, reflections, and rotations do not alter the _______________ and shape of a figure.
3. a transformation that changes the size of a figure but not its shape is called _______________.
4. to verify that two figures are congruent, the lengths of their corresponding _______________ must be equal.

Explanation:

1. A transformation that turns a figure around a fixed point is defined as rotation.
2. Translations, reflections, and rotations are rigid transformations, which preserve the size and shape of a figure.
3. A transformation that resizes a figure while keeping its shape unchanged is a dilation.
4. Congruent figures have identical corresponding side lengths, so verifying equal corresponding sides confirms congruence.

Answer:

1. rotation
2. size
3. dilation
4. sides