Transformations & Symmetry

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How many lines of symmetry does an equilateral triangle have?

Back

An equilateral triangle has 3 lines of symmetry.

Front

What is the degree of rotational symmetry for an equilateral triangle?

Back

The degree of rotational symmetry for an equilateral triangle is 120 degrees.

Front

What is a reflection transformation?

Back

A reflection transformation is a flip of a shape over a line, creating a mirror image.

Front

What does it mean to reflect a point over the y-axis?

Back

To reflect a point over the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

Front

If point X is at (3, -4), what are the coordinates of X after reflecting over the y-axis?

Back

The new coordinates of point X after reflecting over the y-axis are (-3, -4).

Front

What is a rotation transformation?

Back

A rotation transformation turns a shape around a fixed point, known as the center of rotation.

Front

What is the angle of rotation for a 90° counterclockwise rotation?

Back

The angle of rotation for a 90° counterclockwise rotation is 90 degrees.

Front

How do you determine the new coordinates of a point after a 90° counterclockwise rotation about the origin?

Back

To determine the new coordinates after a 90° counterclockwise rotation, switch the x and y coordinates and change the sign of the new x-coordinate.

Front

What is the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape can be rotated to look the same within a full 360-degree rotation.