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 90° counterclockwise around the origin?

Back

(x,y) → (-y,x)

Front

What is the rule for rotating a point 180° around the origin?

Back

(x,y) → (-x,-y)

Front

What is the rule for rotating a point 270° counterclockwise around the origin?

Back

(x,y) → (y,-x)

Front

What is the rule for reflecting a point over the y-axis?

Back

(x,y) → (-x,y)

Front

What is the rule for reflecting a point over the x-axis?

Back

(x,y) → (x,-y)

Front

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

Back

(-2,3)

Front

What is the result of reflecting the point (-5,-7) over the x-axis?

Back

(-5,7)

Front

What series of rigid motions can map triangle ∆ABC onto triangle ∆A''B''C''?

Back

A reflection followed by a translation.

Front

What is the image of the point (4,5) after a 90° clockwise rotation around the origin?

Back

(5,-4)