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 happens to the coordinates of a point when it is reflected over the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, (x, y) becomes (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you perform a 180° rotation about the origin on a point (x, y)?

Back

The coordinates change to (-x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the definition of 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

If Point A is at (3, -8) and moves to A' at (-4, -5), what is the translation rule?

Back

(x - 7, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is symmetry in geometry?

Back

A property where a shape can be divided into two identical parts that are mirror images of each other.

Tags

CCSS.4.G.A.3

Front

How many lines of symmetry does a circle have?

Back

An infinite number of lines of symmetry.

Tags

CCSS.4.G.A.3

Front

Which letters have vertical symmetry?

Back

H, I, O, X.

Tags

CCSS.4.G.A.3

Front

What is the line of symmetry for a rectangle?

Back

A rectangle has two lines of symmetry: one vertical and one horizontal.

Tags

CCSS.4.G.A.3

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

The coordinates change to (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3