Transformations and Symmetry Review

Front

What is a reflection in geometry?

Back

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

Front

How do you find the coordinates of a point after reflecting across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates are (-x, y).

Front

What is the definition of lines of symmetry?

Back

Lines of symmetry are lines that divide a shape into two identical parts that are mirror images of each other.

Front

How do you determine the number of lines of symmetry in a shape?

Back

Count the number of ways you can fold the shape so that both halves match exactly.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a center point and still look the same at certain angles.

Front

How do you find the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees.

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise around the origin?

Back

The new coordinates (x, y) become (y, -x).

Front

What is the image of the point (x, y) after a 180-degree rotation around the origin?

Back

The new coordinates become (-x, -y).

Front

How do you rotate a point 90 degrees counterclockwise around the origin?

Back

The new coordinates (x, y) become (-y, x).

Front

What is the formula for finding the coordinates of a point after a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates are (x, -y).