Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called 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.

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the difference between congruence and similarity?

Back

Congruence means figures are the same size and shape, while similarity means figures have the same shape but may differ in size.

Front

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

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

The new coordinates after reflection across the x-axis are (x, -y).

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

The new coordinates after reflection across the y-axis are (-x, y).