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

How do you translate a point (x, y) 5 units to the left and 2 units up?

Back

The new coordinates will be (x - 5, y + 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for translating a point 2 units to the right and 5 units down?

Back

The rule is (x + 2, y - 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the figure will be compared to the original.

Tags

CCSS.8.G.A.3

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains congruent to the original; it does not change in size.

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, becoming larger than the original.

Tags

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor between 0 and 1?

Back

The figure shrinks, becoming smaller than the original.

Tags

CCSS.8.G.A.3

Front

How do you determine if a figure has been dilated?

Back

Check if the figure's size has changed while maintaining the same shape and angles.

Tags

CCSS.8.G.A.3

Front

What is the coordinate rule for moving a point down 6 units?

Back

The rule is (x, y - 6).

Tags

CCSS.HSG.CO.A.2

Front

What is the coordinate rule for translating a triangle ABC to A'B'C' using (x-2, y+9)?

Back

This rule moves each point of triangle ABC 2 units left and 9 units up.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5