Homework Dilations PREP (24-25)

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means that each coordinate of the figure is multiplied by 2, resulting in a figure that is twice as large.

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

If the original point A is at (2,3) and is dilated by a scale factor of 2, what are the new coordinates A'?

Back

A' = (4,6) because (2*2, 3*2) = (4,6).

Front

What happens to the coordinates of a point when dilated by a scale factor of 1/2?

Back

The coordinates of the point are halved, making the figure smaller.

Front

If point F is at (4,2) and is dilated by a scale factor of 1/2, what are the new coordinates F'?

Back

F' = (2,1) because (4*1/2, 2*1/2) = (2,1).

Front

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

Back

A scale factor less than 1 reduces the size of the figure.

Front

If point J is at (6,3) and is dilated by a scale factor of 1/3, what are the new coordinates J'?

Back

J' = (2,1) because (6*1/3, 3*1/3) = (2,1).

Front

What is the relationship between the original figure and the dilated figure?

Back

The dilated figure is similar to the original figure, meaning they have the same shape but different sizes.

Front

How do you determine the scale factor in a dilation?

Back

The scale factor can be determined by comparing the lengths of corresponding sides of the original and dilated figures.