Translations on the Coordinate Plane

Front

What is a translation on the coordinate plane?

Back

A translation on the coordinate plane is a transformation that moves every point of a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

How do you translate a point 5 units to the right?

Back

To translate a point (x, y) 5 units to the right, you add 5 to the x-coordinate: (x, y) → (x + 5, y).

Front

What happens to the y-coordinate when translating left or right?

Back

The y-coordinate remains unchanged when translating left or right.

Front

What is the effect of translating a point 10 units up?

Back

To translate a point (x, y) 10 units up, you add 10 to the y-coordinate: (x, y) → (x, y + 10).

Front

If a triangle is translated 6 units to the right and 10 units up, what are the new coordinates of the point (2, 3)?

Back

The new coordinates would be (2 + 6, 3 + 10) = (8, 13).

Front

What is the x-coordinate of a point after translating it 4 units to the left?

Back

If the original x-coordinate is x, after translating 4 units to the left, the new x-coordinate will be (x - 4).

Front

When translating a shape, what do you do to the coordinates?

Back

You add or subtract a specific number to/from the x and/or y coordinates depending on the direction of the translation.

Front

How do you determine the distance of a translation on the coordinate plane?

Back

The distance of a translation can be determined by calculating the difference in the x-coordinates and y-coordinates of the original and translated points.

Front

What is the result of translating the point (5, 2) 3 units left and 4 units down?

Back

The new coordinates will be (5 - 3, 2 - 4) = (2, -2).

Front

If a point is translated 7 units to the right and 11 units up, what is the algebraic representation?

Back

The algebraic representation is (x, y) → (x + 7, y + 11).