Transformations and Congruence Review

Front

What is a translation in geometry?

Back

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

Front

How do you determine the direction and distance of a translation?

Back

To determine the direction and distance of a translation, subtract the original coordinates from the new coordinates.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rotations, reflections, or translations.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

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

Back

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

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The new coordinates after a 180° rotation are (-x, -y).

Front

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

Back

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

Front

What is the purpose of transformations in geometry?

Back

Transformations are used to manipulate shapes and understand their properties, relationships, and congruence.