Transformations: Reflection, Rotation, Dilation

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are reflection, rotation, and dilation.

Front

What is reflection in geometry?

Back

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

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

How does reflecting a point over the y-axis affect its coordinates?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° clockwise?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 180°?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° clockwise?

Back

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

Front

If a shape is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the shape are multiplied by 2, making it twice as large.