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 type of transformation that slides a figure from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

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 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

What does the term 'scale factor' refer to in transformations?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation transformation.

Front

How do you identify a translation transformation?

Back

A translation transformation can be identified by the addition or subtraction of constants to the x and y coordinates of the points in the figure.

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

The rule for reflecting a point (x, y) across the x-axis is (x, -y).

Front

What is the rule for rotating a point (x, y) 90° clockwise?

Back

The rule for rotating a point (x, y) 90° clockwise is (y, -x).

Front

What is the rule for rotating a point (x, y) 180°?

Back

The rule for rotating a point (x, y) 180° is (-x, -y).

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

The rule for reflecting a point (x, y) across the y-axis is (-x, y).