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 translation in the context of transformations.

Back

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

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

Explain what a rotation is in terms of transformations.

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What does dilation mean 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 y-axis.

Back

Reflection across the y-axis.

Front

Identify the transformation: A shape is moved 3 units to the right and 2 units down.

Back

Translation.

Front

What is the result of a 90° clockwise rotation of a point (x, y)?

Back

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

Front

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

Back

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

Front

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

Back

The dimensions of the shape are doubled.