Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

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 it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What is translation in geometry?

Back

Translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

What is rotation in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation.

Front

If a point (2, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

The new coordinates are (4, 6).

Front

What is the difference between rigid transformations and non-rigid transformations?

Back

Rigid transformations (translation, rotation, reflection) preserve the shape and size of a figure, while non-rigid transformations (dilation) change the size.