Geometric Transformations Review

Front

What is a geometric transformation?

Back

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

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What happens to the coordinates of a point (x, y) when it is translated by (a, b)?

Back

The new coordinates will be (x + a, y + b).

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

How do you determine the new coordinates of a point after a 90° rotation counterclockwise about the origin?

Back

The new coordinates (x', y') will be (-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 are the new coordinates of a point (x, y) after reflecting over the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is the effect of reflecting a point across the line y = x?

Back

The new coordinates will be (y, x).

Front

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure but not 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.