Translations and Graphing on the Coordinate Plane

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point on the coordinate plane?

Back

To translate a point (x, y), you add or subtract values from x and y based on the translation vector (a, b): new point = (x + a, y + b).

Front

What are the coordinates of the origin on the coordinate plane?

Back

The coordinates of the origin are (0, 0).

Front

Which quadrant contains the point (3, -2)?

Back

Quadrant IV.

Front

What happens to the coordinates of a point when it is translated 2 units to the right?

Back

The x-coordinate increases by 2, while the y-coordinate remains the same.

Front

If point A is at (1, 2) and is translated to (4, 2), what is the translation vector?

Back

The translation vector is (3, 0).

Front

What is the effect of translating a shape on the coordinate plane?

Back

Translating a shape does not change its size, shape, or orientation; it simply moves it to a different location.

Front

How do you identify the quadrant of a point with negative x and positive y coordinates?

Back

The point is located in Quadrant II.

Front

What is the result of translating the point (0, -6) to the right by 6 units?

Back

The new coordinates will be (6, -6).

Front

What does the term 'slide' refer to in the context of translations?

Back

'Slide' refers to the movement of a figure from one position to another without changing its shape or orientation.