Translations

Front

What is a translation in geometry?

Back

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

Front

If a point T(2, -5) is translated 3 units to the right and 6 units up, what are the coordinates of T'?

Back

(5, 1)

Front

Describe the translation represented by the function (x, y) → (x + 2, y - 3).

Back

Slide right 2 units and down 3 units.

Front

What is the x-axis?

Back

The x-axis is the horizontal axis in a coordinate plane, where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical axis in a coordinate plane, where the x-coordinate is zero.

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a pre-image.

Front

What does it mean to translate a shape 3 units left?

Back

It means to move every point of the shape 3 units in the negative x-direction.

Front

What does it mean to translate a shape 3 units up?

Back

It means to move every point of the shape 3 units in the positive y-direction.

Front

If a shape is translated 2 units left and 3 units down, what are the changes in coordinates?

Back

The x-coordinate decreases by 2 and the y-coordinate decreases by 3.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original shape or object before any transformation is applied.