12/5 Dilations Warm Up

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a center point and a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

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

Back

Each dimension of the triangle is multiplied by 2, making the triangle twice as large.

Front

What is the image of a point (x, y) after a dilation with a scale factor of 3?

Back

The image of the point will be (3x, 3y).

Front

What happens to a polygon when it is dilated by a scale factor less than 1?

Back

The image of the polygon will be smaller than the original polygon.

Front

How do you find the coordinates of a dilated figure?

Back

Multiply each coordinate of the original figure by the scale factor.

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 during the dilation.

Front

If the scale factor is 1, what is the result of the dilation?

Back

The image will be congruent to the original figure; there is no change in size.

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.

Front

How do you express a dilation mathematically?

Back

A dilation can be expressed as (x, y) --> (kx, ky), where k is the scale factor.