Dilations and Translations

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation of a shape?

Back

A translation can be described using a vector that indicates the direction and distance of the movement.

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same.

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a triangle is dilated with a scale factor of 2, what happens to its size?

Back

The triangle will be enlarged to twice its original size.

Front

If a triangle is dilated with a scale factor of 0.5, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

How do you perform a translation of a figure on a coordinate plane?

Back

To translate a figure, add the translation vector to the coordinates of each vertex of the figure.

Front

What happens to the coordinates of a point (x, y) when it is translated 3 units up and 2 units to the right?

Back

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