translations

Front

What is a translation in geometry?

Back

A translation is a 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

When translating a shape up or down on a coordinate plane, which coordinate is affected?

Back

The y-coordinate is affected.

Front

How do you represent a translation algebraically?

Back

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

Front

What does the translation (x - 2, y + 3) indicate?

Back

It indicates a slide left 2 units and up 3 units.

Front

If a point A has coordinates (3, 4) and is translated by (x + 2, y - 5), what are the new coordinates of point A?

Back

The new coordinates of point A will be (5, -1).

Front

What is the effect of translating a triangle ABC to triangle A'B'C' using (x - 2, y + 9)?

Back

Each vertex of triangle ABC is moved 2 units to the left and 9 units up to form triangle A'B'C'.

Front

What are the coordinates of the image after the translation (x, y) → (x + 2, y - 1) if the original coordinates are A (-1, 3) and B (4, -4)?

Back

The new coordinates will be A (1, 2) and B (6, -5).

Front

What is the geometric interpretation of a translation?

Back

A translation can be visualized as sliding a shape along a straight path without rotating or flipping it.

Front

If a point is translated 3 units to the right and 2 units down, what is the algebraic representation of this translation?

Back

The algebraic representation is (x + 3, y - 2).

Front

What happens to the shape of an object during a translation?

Back

The shape of the object remains unchanged during a translation.