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 geometry.

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What is a rotation?

Back

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

Front

What is reflection in geometry?

Back

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

Front

Define dilation in geometry.

Back

A dilation is a transformation that changes the size of a shape but keeps its proportions the same, defined by a center point and a scale factor.

Front

What is the scale factor in dilation?

Back

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

Front

How do you determine if a transformation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

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

Back

The formula for translation is (x + a, y + b).

Front

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

Back

Reflecting a shape across the x-axis means that for every point (x, y), the new point will be (x, -y).

Front

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

Back

Reflecting a shape across the y-axis means that for every point (x, y), the new point will be (-x, y).