Transformations and Symmetry Review

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a figure 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 a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What are the types of transformations?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

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

What is the smallest angle of rotation for a regular pentagon?

Back

The smallest angle of rotation that maps a regular pentagon onto itself is 72°.

Front

What is the smallest degree of rotation for an equilateral triangle?

Back

The smallest degree of rotation that maps an equilateral triangle onto itself is 60°.

Front

How do you reflect a point over the line y = -x?

Back

To reflect a point (x, y) over the line y = -x, swap the coordinates and change their signs to get (-y, -x).

Front

What is the formula for reflecting a point (x, y) over the x-axis?

Back

The reflection of a point (x, y) over the x-axis is (x, -y).

Front

What is the formula for reflecting a point (x, y) over the y-axis?

Back

The reflection of a point (x, y) over the y-axis is (-x, y).