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 represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to translate a shape 3 units left and 2 units up?

Back

It means to move the shape 3 units in the negative x-direction and 2 units in the positive y-direction.

Front

If a point is at (2, 3) and is translated 4 units down, what are the new coordinates?

Back

The new coordinates will be (2, -1).

Front

What is the x-axis?

Back

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

Front

What is the y-axis?

Back

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

Front

If triangle A is at (1, 2) and is translated 3 units right and 1 unit down, where is triangle A' located?

Back

Triangle A' is located at (4, 1).

Front

What is the effect of translating a shape 0 units horizontally and 5 units vertically?

Back

The shape will move straight up or down without changing its horizontal position.

Front

How do you find the new position of a point after translation?

Back

Add the translation values to the original coordinates of the point.

Front

What happens to the shape of a figure when it is translated?

Back

The shape and size of the figure remain unchanged during a translation.