Dilations QC 1.6 Review

Front

What is a dilation in geometry?

Back

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

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

If a point A(x, y) is dilated by a scale factor of k, what is the new point A'?

Back

A' = (kx, ky)

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 2?

Back

The coordinates of the point are doubled.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

If the coordinates of point A are (4, 6) and it is dilated by a scale factor of 3, what are the coordinates of A'?

Back

A' = (12, 18)

Front

True or False: A dilation with a scale factor of 0.5 is an enlargement.

Back

False, it is a reduction.

Front

True or False: A dilation with a scale factor of 2 is a reduction.

Back

False, it is an enlargement.

Front

What is the effect of a dilation on angles in a figure?

Back

Dilation preserves the angles; the angles remain the same before and after the transformation.

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6) and is dilated by a scale factor of 1/2, what are the new coordinates of vertex A'?

Back

A' = (0.5, 1)