Question

in geometry, a transformation that does not change the size or shape of a figure is called a(n) ______________ transformation.
the type of symmetry where a shape or design can be split into two identical halves is called ______________ symmetry.
a transformation that slides a figure from one position to another without any rotation is called a(n) ______________.
the point around which a figure is rotated in geometry is called the ______________.
when a figure is enlarged or reduced proportionally, the transformation is known as a(n) ______________.
the ______________ of a figure is a line along which it is flipped to produce a mirror image in a reflection.
the property of a figure where it can be rotated less than 360 degrees and still look the same is called ______________ symmetry.
the type of symmetry in which the arrangement of components remains the same even if the figure is moved along a straight line is ______________ symmetry.

Explanation:

1. Rigid - motion transformations preserve size and shape.
2. Bilateral symmetry means two identical halves.
3. Translation is sliding a figure.
4. Center of rotation is the pivot point.
5. Dilation changes size proportionally.
6. Line of reflection for mirror - image.
7. Rotational symmetry is looking same after < 360° rotation.
8. Translational symmetry is invariant along a line.

Answer:

1. Rigid - motion
2. Bilateral
3. Translation
4. Center of rotation
5. Dilation
6. Line of reflection
7. Rotational
8. Translational