Understanding Translations in Geometry

Front

What is a translation in geometry?

Back

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

Front

When translating an object, which direction would you apply to the 'x' coordinate?

Back

Left or right.

Front

What is the algebraic representation of a translation?

Back

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

Front

Identify the transformation from ABC to A'B'C' if the rule is (x+8, y+4).

Back

The transformation is a translation 8 units to the right and 4 units up.

Front

What type of transformation is shown by the rule (x, y) → (x + 3, y)?

Back

Translation.

Front

Write the rule for the translation that slides a point 3 units up and 2 units to the right.

Back

(x, y) → (x + 2, y + 3).

Front

What does the term 'vector' refer to in the context of translations?

Back

A vector is a quantity that has both direction and magnitude, used to describe the movement of a translation.

Front

How can you determine the direction of a translation on a coordinate plane?

Back

By observing the changes in the x and y coordinates of the points before and after the transformation.

Front

What is the effect of a translation on the shape of a figure?

Back

A translation does not change the shape or size of a figure; it only changes its position.

Front

If a point (2, 3) is translated 5 units left and 2 units down, what are the new coordinates?

Back

(-3, 1).