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 orientation.

Front

Identify the rule for translating a point (x, y) to (x + 3, y + 1).

Back

The translation rule is (x, y) → (x + 3, y + 1).

Front

What does rotational symmetry mean?

Back

A figure has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.

Front

If a figure has rotational symmetry, what happens when it is rotated?

Back

The figure remains unchanged regardless of the angle of rotation.

Front

What is the translation rule for moving a triangle 8 units to the right and 4 units up?

Back

The translation rule is (x, y) → (x + 8, y + 4).

Front

How do you express a translation that moves a point (x, y) to (x - 2, y + 1)?

Back

The translation rule is (x, y) → (x - 2, y + 1).

Front

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

Back

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

Front

What is the translation rule for moving a point 2 units left and 1 unit down?

Back

The translation rule is (x, y) → (x - 2, y - 1).

Front

Can a figure have more than one line of symmetry?

Back

Yes, a figure can have multiple lines of symmetry, but rotational symmetry is about rotation around a point.

Front

What is the translation rule for moving a point (x, y) to (x + 4, y - 8)?

Back

The translation rule is (x, y) → (x + 4, y - 8).