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

Write the translation rule for moving a point from (x, y) to (x + 2, y - 1).

Back

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

True or False: A figure with rotational symmetry remains unchanged no matter how it is rotated.

Back

True.

Front

Identify the translation rule for moving a triangle from (x, y) to (x + 8, y + 4).

Back

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

Front

If a triangle is translated using the rule (x - 1, y + 2), what is the new position of the point (3, 4)?

Back

The new position is (3 - 1, 4 + 2) = (2, 6).

Front

What is the effect of the translation rule (x - 2, y + 1) on the point (5, 3)?

Back

The new position is (5 - 2, 3 + 1) = (3, 4).

Front

How can you identify a translation on a coordinate plane?

Back

A translation can be identified by observing that all points of the figure move the same distance in the same direction.

Front

What is the general form of a translation rule?

Back

The general form is (x + a, y + b), where 'a' and 'b' are constants.

Front

What is the difference between a translation and a rotation?

Back

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