Dilations on the Coordinate Plane (8th)

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 scale factor.

Front

What happens when the scale factor of a dilation is greater than 1?

Back

The dilation is an enlargement.

Front

What happens when the scale factor of a dilation is less than 1?

Back

The dilation is a reduction.

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.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the figure are multiplied by 2.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the result of dilating a point (x, y) by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, depending on the scale factor, a dilation can be either an enlargement (scale factor > 1) or a reduction (scale factor < 1).

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size.

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after a dilation by a scale factor of 3?

Back

A'(3, 6), B'(9, 12), C'(15, 18).