Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object a certain 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

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

Back

The new point will be (x + 3, y + 2).

Front

What does the translation rule (x, y) -> (x - 5, y) indicate?

Back

This rule indicates a translation 5 units to the left, keeping the y-coordinate the same.

Front

If point A(2, 3) is translated using the rule (x, y) -> (x + 4, y - 1), what are the coordinates of A'?

Back

The coordinates of A' will be (6, 2).

Front

What is the effect of the translation rule (x, y) -> (x, y + 4)?

Back

This rule translates a point 4 units up.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, apply the translation rule to the original coordinates by adding or subtracting the specified values.

Front

If point B(1, 1) is translated 2 units to the right and 3 units down, what are the new coordinates?

Back

The new coordinates will be (3, -2).

Front

What does it mean to translate a shape?

Back

Translating a shape means moving it to a different location without changing its size, shape, or orientation.

Front

If point C(-2, 4) is translated 1 unit to the left and 5 units down, what are the coordinates of C'?

Back

The coordinates of C' will be (-3, -1).