Transformations

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

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

Front

What does translation mean in geometry?

Back

Translation means moving a shape from one location to another without changing its size, shape, or orientation.

Front

If a point (x, y) is translated 3 units to the right and 2 units down, what is the new point?

Back

The new point is (x+3, y-2).

Front

What is the effect of the translation rule (x, y) → (x-4, y+3)?

Back

The figure moves 4 units left and 3 units up.

Front

What is a reflection in geometry?

Back

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

Front

What does the reflection rule (x, y) → (x, -y) indicate?

Back

This rule indicates a reflection across the x-axis.

Front

What is a rotation in geometry?

Back

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

Front

If a shape is rotated 90 degrees clockwise, how does its position change?

Back

The shape turns 90 degrees in the clockwise direction around the center of rotation.

Front

What is dilation in geometry?

Back

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