Dilations and Translations

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.

Front

What is a translation in geometry?

Back

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

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.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction occurs.

Front

What is the rule for translating a figure 5 units to the right and 3 units up?

Back

(x + 5, y + 3) is the translation rule.

Front

How do you translate a figure down 6 units?

Back

The translation rule is (x, y - 6).

Front

What are the new coordinates of point (2, 3) after a translation of 4 units to the left and 2 units down?

Back

The new coordinates are (-2, 1).

Front

What is the effect of a dilation with a scale factor of 2 on a triangle with vertices at (1, 1), (2, 2), (3, 1)?

Back

The new vertices will be (2, 2), (4, 4), (6, 2).

Front

What is the translation rule for moving a figure 8 units down and 5 units to the right?

Back

(x + 5, y - 8) is the translation rule.