Translations and dilations

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.

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

How do you perform a translation in geometry?

Back

A translation moves every point of a figure the same distance in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the general form of a translation transformation?

Back

The general form is (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point (x, y) is translated by (3, -2), what is the new point?

Back

The new point will be (x + 3, y - 2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to translate a shape 5 units to the right and 2 units down?

Back

It means to add 5 to the x-coordinate and subtract 2 from the y-coordinate of each point in the shape.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How can you identify a dilation from a set of coordinates?

Back

You can identify a dilation by checking if the distances between points are proportional to the scale factor.

Tags

CCSS.8.G.A.3

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Tags

CCSS.8.G.A.3

Front

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

Back

A scale factor less than 1 reduces the figure.

Tags

CCSS.8.G.A.3

Front

How do you find the scale factor when given original and dilated points?

Back

The scale factor can be found by dividing the distance of the dilated point from the center of dilation by the distance of the original point from the center.

Tags

CCSS.8.G.A.3