Transformations Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure, either enlarging or reducing it.

Front

What mathematical operations are used in a translation?

Back

Addition and subtraction are used in a translation to move a figure in a specific direction.

Front

If a figure is translated left by 5 units, how is this represented mathematically?

Back

The figure's x-coordinate is decreased by 5.

Front

What is the result of rotating a point 360° around the origin?

Back

The point remains in the same position; the transformation is (x,y)→(x,y).

Front

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the coordinates of the dilated point by the original point's coordinates.

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

The scale factor is ¼.

Front

What does a translation do to a geometric figure?

Back

A translation moves a figure from one location to another without changing its shape or size.

Front

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

Back

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

Front

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

Back

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

Front

What is the difference between a reflection and a rotation?

Back

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