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, 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) 6 units left and 4 units up?

Back

The rule is (x, y) → (x-6, y+4).

Front

What is reflection in geometry?

Back

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

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule is (x, y) → (x, -y).

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 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 rule for rotating a point 180° about the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What is the effect of a 180° rotation on a figure?

Back

A 180° rotation results in a figure that is turned upside down, preserving its size and shape.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.