Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What is translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) 2 units to the right and 1 unit down?

Back

(x, y) --> (x + 2, y - 1)

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) across the x-axis?

Back

The reflection of the point (x, y) across the x-axis is (x, -y).

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the algebraic notation for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) --> (-y, x)