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 write the rule for a translation that moves a point 5 units up and 7 units right?

Back

The rule is (x, y) → (x + 7, y + 5).

Front

What does the prime symbol (') indicate in geometry?

Back

The prime symbol indicates the image of a point or shape after a transformation, such as a translation.

Front

If a shape is translated 2 units left and 8 units down, how is this represented in coordinate notation?

Back

The translation is represented as (x, y) → (x - 2, y - 8).

Front

What is the effect of the translation (x + 3, y - 1) on a point's coordinates?

Back

The translation moves the point 3 units to the right and 1 unit down.

Front

How do you determine the direction of a translation from one triangle to another?

Back

You compare the coordinates of corresponding points in the original triangle and the translated triangle to find the horizontal and vertical changes.

Front

What is the translation rule for moving triangle ABC down 3 units and right 8 units?

Back

The translation rule is (x, y) → (x + 8, y - 3).

Front

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

Back

The new coordinates are (-2, 5).

Front

What does it mean to translate a shape 'up' on the coordinate plane?

Back

Translating a shape 'up' means increasing the y-coordinate of each point of the shape.

Front

What does it mean to translate a shape 'down' on the coordinate plane?

Back

Translating a shape 'down' means decreasing the y-coordinate of each point of the shape.