Translation Geometry Practice

Front

What is translation in geometry?

Back

Translation is a type of transformation that moves every point of a shape or object a constant 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 the transformation (x + 5, y - 3) indicate?

Back

This transformation indicates a translation 5 units to the right and 3 units down.

Front

If a point (2, 3) is translated by (x + 4, y - 2), what is the new location?

Back

The new location is (6, 1).

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains in the same position; there is no change.

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the signs of the values added to the x and y coordinates: positive values indicate right/up, and negative values indicate left/down.

Front

What is the result of translating the point (1, -1) by (-3, 2)?

Back

The new point is (-2, 1).

Front

If triangle ABC is translated to triangle A'B'C', how can you find the translation vector?

Back

The translation vector can be found by subtracting the coordinates of a point in triangle ABC from the corresponding point in triangle A'B'C'.

Front

What does it mean to translate a shape 'up'?

Back

Translating a shape 'up' means increasing the y-coordinate of each point of the shape.

Front

What does it mean to translate a shape 'down'?

Back

Translating a shape 'down' means decreasing the y-coordinate of each point of the shape.