Flashcards 3-1 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.

Front

What is the rule for rotating a point (x,y) 90° counterclockwise?

Back

(x,y) → (-y,x)

Front

What is the rule for rotating a point (x,y) 180°?

Back

(x,y) → (-x,-y)

Front

What is the rule for rotating a point (x,y) 270° counterclockwise?

Back

(x,y) → (y,-x)

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

What is the transformation called when a figure is moved without rotation or reflection?

Back

Translation.

Front

What is the effect of a translation of (x+5, y-3) on a point (2, 4)?

Back

The new point will be (7, 1).

Front

What is the rule for reflecting a point (x,y) across the x-axis?

Back

(x,y) → (x,-y)

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.

Front

What is the result of reflecting the point (3, -2) across the y-axis?

Back

The new point will be (-3, -2).