Translations on the Coordinate Plane

Front

What is a translation in the context of the coordinate plane?

Back

A translation is a transformation that moves every point of a figure or a graph a certain distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the left?

Back

To translate a point (x, y) 3 units to the left, subtract 3 from the x-coordinate: (x - 3, y).

Front

What are the coordinates of a point after translating (2, 5) 4 units down?

Back

The new coordinates are (2, 1) because you subtract 4 from the y-coordinate.

Front

How many quadrants are in a coordinate plane?

Back

There are 4 quadrants in a coordinate plane.

Front

What is the new coordinate of point S(-6,-2) after translating it 8 units up and 2 units right?

Back

The new coordinate is (-4, 6).

Front

What does the transformation (x, y) --> (x + 2, y - 3) represent?

Back

This transformation represents a translation 2 units to the right and 3 units down.

Front

If triangle ABC is translated down 9 units and right 4 units, what are the new coordinates of point A if A is at (1, 2)?

Back

The new coordinates of point A would be (5, -7).

Front

What is the effect of translating a point 0 units in the x-direction?

Back

Translating a point 0 units in the x-direction means the x-coordinate remains unchanged.

Front

If a point is translated 5 units left and 3 units up, how would you express this transformation mathematically?

Back

The transformation can be expressed as (x, y) --> (x - 5, y + 3).

Front

What is the result of translating the point (3, 4) 6 units to the left?

Back

The result is (-3, 4) because you subtract 6 from the x-coordinate.