Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction without changing its size, shape, or orientation.

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 the translation (x + 2, y - 6) indicate?

Back

This translation indicates a movement 2 units to the right and 6 units down.

Front

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

Back

A' will be at (6, 0).

Front

What is the effect of translating a shape 5 units left and 1 unit up?

Back

The shape will move horizontally 5 units to the left and vertically 1 unit up from its original position.

Front

How do you find the new coordinates after a translation?

Back

To find the new coordinates, add the translation values to the original coordinates: New x = original x + a, New y = original y + b.

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, creating a mirror image.

Front

What does the notation (x, y) → (x - 2, y + 3) represent?

Back

This notation represents a translation 2 units to the left and 3 units up.

Front

If a quadrilateral is translated 6 units down and 3 units left, how do you express this mathematically?

Back

This can be expressed as (x, y) → (x - 3, y - 6).

Front

What is the result of translating the point (1, 2) by (x + 4, y - 1)?

Back

The result will be the point (5, 1).