Rigid Transformations Practice Flashcard

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translations, rotations, and reflections.

Front

What happens to a point (x, y) when it is reflected over the y-axis?

Back

The new point will be (-x, y).

Front

What is the result of reflecting the point (3, -4) over the x-axis?

Back

The new point will be (3, 4).

Front

What is a translation in geometry?

Back

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

Front

What is the rule for reflecting a point (a, b) over the x-axis?

Back

The rule is (a, b) → (a, -b).

Front

What is the rule for reflecting a point (a, b) over the y-axis?

Back

The rule is (a, b) → (-a, b).

Front

What is the result of rotating the point (2, 3) 90 degrees counterclockwise around the origin?

Back

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

Front

What is the result of translating the point (1, 2) up 3 units?

Back

The new point will be (1, 5).

Front

What is the result of reflecting the point (-2, 5) over the line y = x?

Back

The new point will be (5, -2).

Front

What is the sequence of transformations for the point (4, 1) if it is first reflected over the x-axis and then translated 2 units to the right?

Back

The new point will be (6, -1).