Transformations Review

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 type of transformation that slides a figure horizontally, vertically, or both without changing its shape or size.

Front

What happens to the coordinates of a point during a reflection over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips or mirrors an object across a line, creating a mirror image.

Front

How does a rotation transformation work?

Back

A rotation turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

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

Back

The new coordinates will be (-y, x) after a 90° counterclockwise rotation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

If a figure is translated 3 units to the right and 2 units up, what is the new position of the point (2, 3)?

Back

The new position will be (5, 5).

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips a figure over a line.