DILATIONS

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Tags

CCSS.8.G.A.3

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 during a dilation.

Tags

CCSS.8.G.A.3

Front

If a circle has a radius of 5 units and is dilated by a scale factor of 4, what is the new radius?

Back

20 units.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It reduces the size of the figure.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the size of the figure.

Tags

CCSS.8.G.A.3

Front

How do you perform a dilation centered at the origin?

Back

Multiply each coordinate of the figure by the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the difference between a dilation and a translation?

Back

A dilation changes the size of a figure, while a translation moves it without changing its size or shape.

Tags

CCSS.8.G.A.3

Front

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

Back

The area is multiplied by the square of the scale factor, so it becomes 4 times larger.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original and dilated figures?

Back

The original and dilated figures are similar, meaning they have the same shape but different sizes.

Tags

CCSS.8.G.A.3