Topic 3: Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape. It is defined by a scale factor.

Front

What does a scale factor of 1/3 mean in dilation?

Back

A scale factor of 1/3 means that the new figure is one-third the size of the original figure.

Front

How does dilation affect the perimeter of a shape?

Back

The perimeter of a shape is multiplied by the scale factor during dilation. For example, if the scale factor is 1/3, the new perimeter is 1/3 of the original.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

The coordinates of the point (x, y) after a 90° clockwise rotation become (y, -x).

Front

What is reflection in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when reflected across the x-axis?

Back

When reflected across the x-axis, the coordinates change from (x, y) to (x, -y).

Front

What is the difference between translation and rotation?

Back

Translation moves a figure from one location to another without changing its orientation, while rotation turns a figure around a point.

Front

What is the result of a 180° rotation about the origin for the point (x, y)?

Back

The coordinates of the point (x, y) after a 180° rotation about the origin become (-x, -y).