Rigid Transformations Practice Flashcard

Front

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

Back

The y-values are changed to their opposite values.

Front

Apply the rule (x,y) → (y,-x) to the point (-5,6). What is the resulting point?

Back

(6, -5)

Front

What type of transformation occurs when a figure is reflected across the x-axis?

Back

The y-coordinates of the points are negated.

Front

Write the translation rule for moving a point 2 units to the right and 1 unit down.

Back

(x + 2, y - 1)

Front

What is the reflection rule across the line y = x?

Back

(a,b) → (b,a)

Front

What is the effect of a 90° clockwise rotation on the coordinates (x,y)?

Back

(x,y) → (y,-x)

Front

What is the effect of a 90° counterclockwise rotation on the coordinates (x,y)?

Back

(x,y) → (-y,x)

Front

What transformation is described by the rule (a,b) → (-a,b)?

Back

Reflection across the y-axis.

Front

What transformation is described by the rule (a,b) → (a,-b)?

Back

Reflection across the x-axis.

Front

If a point (x,y) is translated by the rule (x - 3, y + 4), what is the new position of the point (2,1)?

Back

(-1, 5)