Translations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you represent a translation algebraically?

Back

(x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What happens to the coordinates of a point (x, y) when it is translated 5 units to the right and 3 units down?

Back

The new coordinates will be (x + 5, y - 3).

Front

When translating a shape, which coordinate is affected by a horizontal movement?

Back

The x-coordinate.

Front

What does the transformation (x, y) --> (x, y + 4) indicate?

Back

It indicates a slide up 4 units.

Front

If a triangle is translated using the rule (x - 2, y + 3), what is the effect on the triangle's position?

Back

The triangle moves 2 units left and 3 units up.

Front

What is the effect of translating a shape 0 units horizontally and 5 units vertically?

Back

The shape moves 5 units up without any horizontal change.

Front

How do you determine the translation vector from trapezoid ABCD to trapezoid A'B'C'D'?

Back

By finding the difference in coordinates between corresponding points of the two trapezoids.

Front

What is the translation of point (3, 4) to point (8, 9)?

Back

The translation vector is (5, 5).

Front

If a shape is translated 10 units left, what is the algebraic representation of this translation?

Back

(x - 10, y).