Transformations on Coordinate Plane

Front

What is a transformation on the coordinate plane?

Back

A transformation on the coordinate plane is an operation that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

Define translation in the context of transformations.

Back

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

Front

What is a rotation in transformations?

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Explain reflection in transformations.

Back

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

Front

What is dilation in transformations?

Back

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

Front

What does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means that the figure is enlarged to twice its original size.

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

When reflected over the x-axis, the coordinates change to (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

When reflected over the y-axis, the coordinates change to (-x, y).

Front

If a point A(-2, 2) is reflected over the x-axis, what are the new coordinates?

Back

A'(-2, -2) after reflection over the x-axis.

Front

What is the result of the transformation (x, y) --> (x + 2, y - 3)?

Back

The transformation slides the figure right by 2 units and down by 3 units.