Transformations. Sequence of Transformations.

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, called the image.

Front

Define rotation in the context of transformations.

Back

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

Front

What does it mean to reflect a shape?

Back

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

Front

Explain what a translation is in geometry.

Back

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

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

The image of the point (x, y) after a 180-degree rotation around the origin is (-x, -y).

Front

Describe the sequence of transformations that maps Triangle ABC onto Triangle A"B"C".

Back

A translation 8 units right and 6 units down followed by a reflection across the y-axis.

Front

What is the result of reflecting a point over the x-axis?

Back

The image of the point (x, y) after reflection over the x-axis is (x, -y).

Front

How does a reflection over the y-axis affect the coordinates of a point?

Back

The image of the point (x, y) after reflection over the y-axis is (-x, y).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips a shape over a line.

Front

What is a dilation in geometry?

Back

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