transformations

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

Define reflection in geometry.

Back

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

Front

What is a rotation?

Back

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

Front

What does translation mean in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

Identify the transformation: A shape is flipped over the x-axis.

Back

Reflection.

Front

Identify the transformation: A shape is moved 5 units to the right and 3 units up.

Back

Translation.

Front

Identify the transformation: A shape is turned 90 degrees clockwise around a point.

Back

Rotation.

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is (-x, y).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

The result is (-y, x).