Transformations & Symmetry

Front

What is point symmetry?

Back

Point symmetry occurs when every part of a figure has a matching part at an equal distance from a central point, meaning the figure can be rotated 180 degrees around that point and look the same.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a figure can be rotated around a central point and still look the same at certain angles of rotation.

Front

If a figure has point symmetry, what can be said about its rotational symmetry?

Back

If a figure has point symmetry, it also has rotational symmetry.

Front

What is a line of reflection?

Back

A line of reflection is a line that divides a figure into two mirror-image halves.

Front

What is the relationship between image points and pre-image points in reflection?

Back

All image points are the same distance from a line of reflection as their corresponding pre-image points.

Front

What type of transformation is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is the nickname for a translation?

Back

The nickname for a translation is a 'slide'.

Front

How do you describe a translation of a figure?

Back

A translation can be described by specifying the direction and distance each point of the figure moves.

Front

What is the effect of a reflection over the y-axis?

Back

A reflection over the y-axis flips the figure horizontally, changing the sign of the x-coordinates of the points.