Transformations Review Unit 3

Front

What is a translation in geometry?

Back

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

Front

How do you perform a translation of a point (x, y) 5 units left and 1 unit up?

Back

The new coordinates will be (x - 5, y + 1).

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

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

Front

What is the result of rotating a point (x, y) 90° clockwise about the origin?

Back

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

Front

Define dilation in geometry.

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you determine the coordinates of a dilated point (x, y) with a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

What is the transformation rule for a translation of 2 units left and 3 units up?

Back

The transformation rule is (x, y) → (x - 2, y + 3).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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