Dilations and Translations

Front

What is a translation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the notation (x+a, y+b) represent in translations?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (x, y) is translated to (x-2, y+9), what direction and distance is it moved?

Back

It is moved 2 units to the left and 9 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the distance from the center of dilation to a point on the image and the distance from the center of dilation to the corresponding point on the original figure.

Tags

CCSS.8.G.A.3

Front

How do you find the new coordinates of a point after a translation?

Back

Add the translation values to the original coordinates: (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the size of a figure during a dilation with a scale factor less than 1?

Back

The figure shrinks.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

If triangle ABC is translated down 9 and right 4, what is the translation rule?

Back

The translation rule is (x+4, y-9).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating the point (3, 5) left 5 units and up 2 units?

Back

The new point is (-2, 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a figure left?

Back

To translate a figure left means to move it horizontally in the negative x-direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5