Question

1. similar figures have the same shape but different ________.
2. similar figures have corresponding angles that are ________.
3. the transformation that moves a figure from one position to another without changing its shape or size is called ________.
4. turning a figure around a fixed point is known as ________.
5. flipping a figure over a line to produce a mirror image is known as ________.

Explanation:

1. Similar figures are defined as having identical shape but differing in the scale of their dimensions (size).
2. A key property of similar figures is that all corresponding angles are equal (congruent), while sides are proportional.
3. A translation is a rigid transformation that slides a figure to a new position without altering its shape, size, or orientation.
4. Rotation is a rigid transformation that revolves a figure around a fixed central point, preserving shape and size.
5. Reflection is a transformation that flips a figure over a line (axis of reflection) to create a mirror image, maintaining shape and size.

Answer:

1. sizes
2. congruent (equal in measure)
3. a translation
4. a rotation
5. a reflection