Compositions of Transformations

Front

What is a composition of transformations?

Back

A transformation where a second transformation is performed on the image of a first transformation.

Front

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

Back

The y-coordinate of the point changes sign.

Front

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

Back

The x-coordinate of the point changes sign.

Front

What is the effect of translating a point (x, y) by (x - 6, y - 1)?

Back

The point moves 6 units left and 1 unit down.

Front

What is the result of rotating a point 180 degrees about the origin?

Back

The coordinates of the point change to (-x, -y).

Front

If point A(-3, 5) is translated to A'(-9, 4) and then reflected over the line x = -1, what is the final image?

Back

(7, 4) after performing the transformations.

Front

What is the sequence of transformations: Reflect over the y-axis then reflect over the x-axis?

Back

This results in a rotation of 180 degrees.

Front

What happens when you translate a point and then reflect it?

Back

The final position depends on the order of transformations.

Front

What is the image of point G(6, 7) after reflecting over the x-axis?

Back

(6, -7) after the reflection.

Front

What is the image of point G(6, 7) after reflecting over the x-axis and then rotating 180 degrees about the origin?

Back

(-6, -7) after both transformations.