Composition of 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

Define reflection in geometry.

Back

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

Front

What is rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What does translation mean in geometry?

Back

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

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 90-degree counterclockwise rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).

Front

How does reflecting a point across the y-axis affect its coordinates?

Back

The x-coordinate changes sign, while the y-coordinate remains the same: (x, y) becomes (-x, y).

Front

What happens to a point when it is reflected across the x-axis?

Back

The y-coordinate changes sign, while the x-coordinate remains the same: (x, y) becomes (x, -y).

Front

If a triangle is translated 3 units right and 2 units up, what are the new coordinates of point A(1, 1)?

Back

The new coordinates will be (4, 3).

Front

What is the result of reflecting a point (3, 4) across the line y=2?

Back

The new coordinates will be (3, 0).