Transformations - 8th Grade

Front

What is a reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) across the x-axis?

Back

The reflected point is (x, -y).

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in a specified direction.

Front

Describe the translation rule (x-2, y+7).

Back

It translates a point 2 units to the left and 7 units up.

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you dilate a point (x, y) by a scale factor of k?

Back

The new point is (kx, ky).

Front

What does a scale factor of 3 mean in dilation?

Back

It means the new figure will be three times larger than the original figure.

Front

What is a rotation in geometry?

Back

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

Front

How do you rotate a point (x, y) 90 degrees counterclockwise around the origin?

Back

The new point is (-y, x).

Front

What is the effect of rotating a figure 270 degrees counterclockwise?

Back

It is equivalent to rotating 90 degrees clockwise.