Transformations and Congruence Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

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 slides a shape from one position to another without turning it.

Front

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

Back

Reflecting a shape over the y-axis means flipping it across the y-axis, changing the sign of the x-coordinates.

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.

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To perform a 90° counterclockwise rotation, the new coordinates will be (-y, x).

Front

What is congruence in geometry?

Back

Congruence means that two shapes are the same size and shape, and can be made to coincide by transformations.

Front

What is the effect of a translation of 5 units right and 3 units down on the point (2, 4)?

Back

The new coordinates will be (2 + 5, 4 - 3) = (7, 1).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

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

Front

If triangle ABC is rotated 180° about the origin, what happens to the coordinates of point A(x, y)?

Back

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