Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor is a number that describes how much the figure is enlarged or reduced during the dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If point A is the center of dilation and point B is at (2,3), what are the coordinates of point B after a dilation with a scale factor of 2?

Back

The coordinates of point B after dilation would be (4,6).

Front

What happens to the dimensions of a figure when it is dilated by a scale factor of 1/2?

Back

The dimensions of the figure are reduced to half their original size.

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but different sizes.

Front

If a triangle is dilated by a scale factor of 3, how does the area of the triangle change?

Back

The area of the triangle increases by a factor of 3^2, or 9.

Front

What is the effect of a dilation with a scale factor of 1?

Back

A dilation with a scale factor of 1 results in no change; the figure remains the same size.

Front

How do you determine the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the distance from the center of dilation to the point by the scale factor and then add the coordinates of the center.

Front

What is the image of a point (4,5) after a dilation centered at the origin with a scale factor of 1/4?

Back

The image of the point (4,5) would be (1,1.25).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.