Transformation Test Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

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 shape the same distance in a given direction.

Front

What is a rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

Explain reflection in geometry.

Back

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

Front

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

Back

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

Front

How do you reflect a point (x, y) across the y-axis?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is reflected across the line x = k?

Back

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

Front

If a triangle is translated 3 units down and 6 units to the left, what is the rule for the transformation?

Back

The rule is (x - 6, y - 3).

Front

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

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