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 happens to a point \( (x,y) \) after a 180 degree rotation about the origin?

Back

The new coordinates will be \( (-x, -y) \).

Front

What is the result of reflecting a point \( (x,y) \) over the y-axis?

Back

The new coordinates will be \( (-x, y) \).

Front

What is the result of reflecting a point \( (x,y) \) over the x-axis?

Back

The new coordinates will be \( (x, -y) \).

Front

What does it mean for two geometric figures to be congruent?

Back

Congruent figures have the same size and same shape.

Front

What is a translation in geometric transformations?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a rotation in geometric transformations?

Back

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

Front

What is a reflection in geometric transformations?

Back

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

Front

What is the effect of a 90 degree rotation on a point \( (x,y) \)?

Back

The new coordinates will be \( (-y, x) \).

Front

What is the effect of a 270 degree rotation on a point \( (x,y) \)?

Back

The new coordinates will be \( (y, -x) \).