Transformations and Symmetry Review

Front

What is an isometric transformation?

Back

An isometric transformation is a transformation that preserves distances and angles, meaning the shape remains congruent after the transformation. Examples include rotations, translations, and reflections.

Front

Which transformation is not isometric?

Back

Dilation is not an isometric transformation because it changes the size of the shape.

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of 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

Describe a translation transformation.

Back

A translation transformation moves every point of a shape the same distance in a specified direction.

Front

What does it mean to reflect a shape across the y-axis?

Back

Reflecting a shape across the y-axis means flipping the shape over the y-axis, resulting in a mirror image.

Front

What is the angle of rotation for a shape to map onto itself?

Back

The angles of rotation for a shape to map onto itself are the angles that result in the shape appearing unchanged, such as 90°, 180°, or 360°.

Front

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

Back

To rotate a point (x, y) 90 degrees counterclockwise around the origin, the new coordinates become (-y, x).

Front

What is the result of rotating the point (7,8) around the origin 90 degrees?

Back

The image of the point (7,8) after a 90-degree rotation around the origin is (-8,7).

Front

What is a rotation transformation?

Back

A rotation transformation turns a shape around a fixed point, called the center of rotation, by a certain angle.