Translations

Front

What is a translation in geometry?

Back

A translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

If point A is at (2, 3) and is translated 3 units to the right and 4 units down, what are the coordinates of A'?

Back

A' is at (5, -1).

Front

What happens to the x-coordinate when a point is translated to the left?

Back

The x-coordinate decreases by the number of units translated.

Front

What happens to the y-coordinate when a point is translated upwards?

Back

The y-coordinate increases by the number of units translated.

Front

If point B is at (1, 2) and is translated 2 units to the left and 3 units up, what are the coordinates of B'?

Back

B' is at (-1, 5).

Front

How do you determine the new coordinates after a translation?

Back

Add the translation values to the original coordinates: (x + horizontal translation, y + vertical translation).

Front

What is the effect of translating a shape on its size and orientation?

Back

The size and orientation of the shape remain unchanged after a translation.

Front

If a triangle with vertices at (0, 0), (1, 0), and (0, 1) is translated 4 units right and 2 units down, what are the new vertices?

Back

The new vertices are (4, -2), (5, -2), and (4, -1).

Front

What is the relationship between the original figure and its translated image?

Back

The original figure and its translated image are congruent.

Front

When translating a figure, which coordinate is affected by a vertical translation?

Back

The y-coordinate is affected.