Transformations (w/ Symmetry) Flashcard

Front

What is the rule for reflection over the x-axis?

Back

(x, y) --> (x, -y)

Front

What is the result of rotating a triangle 270° counterclockwise around the origin?

Back

The new image is Triangle B.

Front

What is a rigid motion in geometry?

Back

A transformation that preserves distance and angle measures, such as translation, rotation, or reflection.

Front

What is the angle of rotation for a 90° clockwise rotation?

Back

270° counterclockwise.

Front

What is the image of the point (-5, 2) when reflected over the y-axis?

Back

(5, 2)

Front

Define reflection in geometry.

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the effect of a translation on a geometric figure?

Back

It moves the figure from one location to another without changing its shape or orientation.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips it over a line.

Front

What does it mean for a transformation to be rigid?

Back

It means the shape and size of the figure remain unchanged.

Front

How do you determine the image of a point after a reflection over the x-axis?

Back

Change the sign of the y-coordinate.