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

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 a given direction.

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to get (-x, y).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate to get (x, -y).

Front

What is a rotation in geometry?

Back

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

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 the effect of a translation of (3, 4) on the point (2, 1)?

Back

The new coordinates after translation will be (2+3, 1+4) = (5, 5).

Front

If point A(4, 5) is reflected across the x-axis, what are the coordinates of the image?

Back

The coordinates of the image will be (4, -5).