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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.HSG.CO.A.4

Front

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

Back

The figure remains unchanged regardless of the angle of rotation.

Tags

CCSS.HSG.CO.A.4

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.HSG.CO.A.2

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.4.G.A.3

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5