Geometry Congruence Transformations

Front

What is a congruence transformation?

Back

A congruence transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

The coordinates change to (-x, -y).

Front

How do you reflect a point (x, y) over the line x = k?

Back

The new coordinates will be (2k - x, y).

Front

What is the result of translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).

Front

What is the notation for a reflection over the y-axis?

Back

The notation is (x, y) -> (-x, y).

Front

If Point A is at (3, -8) and moves to A' at (-4, -5), what is the translation vector?

Back

The translation vector is (-7, +3).

Front

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

Back

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

Front

How do you reflect a point (x, y) over the line y = k?

Back

The new coordinates will be (x, 2k - y).

Front

What is the composition of transformations?

Back

The composition of transformations is applying one transformation after another, resulting in a single transformation.

Front

What is the result of reflecting the point (2, 3) over the line x = 1?

Back

The new coordinates will be (0, 3).