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.

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.

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.

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.

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).

Front

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

Back

The figure shrinks.

Front

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

Back

The figure enlarges.

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).

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).

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.