Translations

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 represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean for a figure to be congruent after a translation?

Back

It means that the figure retains its shape and size; only its position changes.

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

If a point (x, y) is translated 3 units right and 2 units down, what is the new position?

Back

The new position is (x + 3, y - 2).

Front

What happens to the coordinates of a point when it is translated left?

Back

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

Front

What happens to the coordinates of a point when it is translated down?

Back

The y-coordinate decreases by the number of units translated down.

Front

If triangle A'B'C' is translated to triangle ABC, what can be said about their corresponding sides and angles?

Back

The corresponding sides and angles of triangle A'B'C' and triangle ABC are equal.

Front

What is the effect of translating a figure on its area?

Back

The area of the figure remains unchanged after a translation.

Front

If a point (2, 5) is translated 4 units left and 3 units up, what are the new coordinates?

Back

The new coordinates are (-2, 8).