Transformations and Symmetry Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

A translation is a type of transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What does rotation mean in geometry?

Back

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

Front

What is symmetry?

Back

Symmetry is a property where a shape or object is identical on both sides of a dividing line or around a central point.

Front

How many lines of symmetry does an equilateral triangle have?

Back

An equilateral triangle has 3 lines of symmetry.

Front

What is an isometric transformation?

Back

An isometric transformation is a transformation that preserves the shape and size of a figure, such as translations, rotations, and reflections.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, either enlarging or reducing it.

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 to get (y, x).

Front

What is the angle of rotation needed to rotate a square onto itself?

Back

A square can be rotated onto itself by 90°, 180°, or 270°.