Composition Transformations

Front

What is a composition of transformations?

Back

A combination of two or more transformations applied to a figure in a specific order.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a specified angle.

Front

What is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What is the effect of reflecting a point over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

What happens to a point when it is rotated 90 degrees counterclockwise around the origin?

Back

The coordinates (x, y) become (-y, x).

Front

What happens to a point when it is rotated 180 degrees around the origin?

Back

The coordinates (x, y) become (-x, -y).

Front

What is the result of a double reflection over the x- and y-axes?

Back

It is equivalent to a rotation of 180 degrees around the origin.

Front

If a triangle is reflected over the x-axis and then rotated 90 degrees, what is the sequence of transformations?

Back

Reflection over the x-axis followed by a rotation of 90 degrees.