Translations

Front

What is a translation in geometry?

Back

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

Front

How do you translate a shape 5 units to the left and 3 units down?

Back

To translate a shape 5 units to the left, subtract 5 from the x-coordinates of all points. To translate it 3 units down, subtract 3 from the y-coordinates of all points.

Front

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

Back

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

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

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

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

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

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips a shape over a line, changing its orientation.

Front

If triangle ABC is reflected over the line y = x, what happens to the coordinates of point A (x, y)?

Back

The new coordinates will be (y, x).

Front

What is the effect of a reflection over the y-axis on the x-coordinate of a point?

Back

The x-coordinate changes sign (it becomes negative).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

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 to the distance from the center of dilation to the corresponding point on the original shape.