Translations & rotational symmetry

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure on a coordinate plane without changing its shape or size.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What does the notation (x + 2, y - 1) indicate?

Back

It indicates a translation of a point 2 units to the right and 1 unit down on the coordinate plane.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a figure can be rotated around a central point and still look the same at certain angles.

Front

If a figure has rotational symmetry, what can be said about its appearance after rotation?

Back

The figure remains unchanged in appearance no matter how much it is rotated.

Front

What is the angle of rotation for a figure with 4-fold rotational symmetry?

Back

The angle of rotation is 90 degrees.

Front

How can you determine if a figure has rotational symmetry?

Back

By rotating the figure around its center and checking if it matches its original position at certain angles.

Front

What is the difference between translation and rotation?

Back

Translation slides a figure without changing its orientation, while rotation turns a figure around a point.

Front

What is the rule for translating a triangle 3 units left and 2 units up?

Back

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

Front

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

Back

A vector represents the direction and distance of a translation, often written as .