Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce 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 the same direction.

Front

What does it mean to rotate a shape?

Back

To rotate a shape means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

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

Front

Define dilation in geometry.

Back

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

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation.

Front

How do you perform a 90-degree rotation counterclockwise around the origin?

Back

To perform a 90-degree rotation counterclockwise, switch the x and y coordinates and change the sign of the new x coordinate.

Front

What happens to the shape during a translation?

Back

The shape maintains its size and orientation; only its position changes.

Front

What is the result of a reflection over the x-axis?

Back

The y-coordinates of the points are inverted, while the x-coordinates remain the same.