Transformations - Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Tags

CCSS.HSG.CO.B.6

Front

What is translation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) vertically by k units?

Back

Add k to the y-coordinate: (x, y + k).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) horizontally by k units?

Back

Add k to the x-coordinate: (x + k, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (x, y) over the y-axis?

Back

Change the sign of the x-coordinate: (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is symmetry in geometry?

Back

A property where a figure can be divided into parts that are arranged in a balanced and proportional way.

Tags

CCSS.4.G.A.3

Front

Which letters have line symmetry?

Back

Letters like A, H, I, M, O, T, U, V, W, X, Y have line symmetry.

Tags

CCSS.4.G.A.3

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point, called the center of rotation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° clockwise rotation of a point (x, y)?

Back

Transform it to (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5