Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without turning or flipping it.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What does it mean to reflect across the y-axis?

Back

Reflecting across the y-axis means that each point of the figure is mirrored over the y-axis, changing the sign of the x-coordinate.

Front

What does it mean to reflect across the x-axis?

Back

Reflecting across the x-axis means that each point of the figure is mirrored over the x-axis, changing the sign of the y-coordinate.

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The rule for translating a point (x, y) by (a, b) is (x + a, y + b).

Front

What is the effect of rotating a point 90 degrees counterclockwise around the origin?

Back

Rotating a point (x, y) 90 degrees counterclockwise around the origin results in the new coordinates (-y, x).

Front

What is the effect of rotating a point 180 degrees around the origin?

Back

Rotating a point (x, y) 180 degrees around the origin results in the new coordinates (-x, -y).

Front

What is the effect of rotating a point 270 degrees counterclockwise around the origin?

Back

Rotating a point (x, y) 270 degrees counterclockwise around the origin results in the new coordinates (y, -x).