Introduction to Transformations (QZ)

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a shape in a plane. This can include operations such as translation, rotation, reflection, and dilation.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, known as 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, known as the line of reflection, creating a mirror image of the original shape.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape by a scale factor, either enlarging or reducing it, while maintaining its shape.

Front

What does a scale factor greater than 1 indicate in dilation?

Back

A scale factor greater than 1 indicates that the shape is being enlarged during the dilation process.

Front

What does a scale factor less than 1 indicate in dilation?

Back

A scale factor less than 1 indicates that the shape is being reduced in size during the dilation process.

Front

How do you identify a translation on a graph?

Back

A translation can be identified on a graph by observing that the shape has moved to a new position without any rotation or reflection.

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

Reflecting a point (x, y) over the y-axis results in the point (-x, y).