Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What does reflection mean in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How does a 90° clockwise rotation affect the coordinates of a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

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

Back

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

Front

What is the result of reflecting a point (3, 4) over the x-axis?

Back

The result is the point (3, -4).

Front

If triangle A is translated 5 units to the right and 3 units up, what is the new position of point (2, 1)?

Back

The new position is (7, 4).