Transformations (translation, 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 four main types of transformations?

Back

Translation, Reflection, Rotation, Dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape 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 shape but keeps its proportions the same, defined by a scale factor.

Front

How do you identify a reflection across the y-axis?

Back

In a reflection across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same.

Front

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

Back

The coordinates become (x, -y).

Front

If a triangle is rotated 90° clockwise, how do the coordinates change?

Back

The new coordinates (x, y) become (y, -x).

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the dilated shape to the length of the corresponding side of the original shape.