Sequence of Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What is a rigid motion?

Back

A rigid motion is a transformation that preserves the shape and size of a figure, such as translation, rotation, and reflection.

Front

Define reflection in geometry.

Back

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

Front

What is translation in geometry?

Back

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

Front

What does rotation mean in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.

Front

What is the result of reflecting a point across the x-axis?

Back

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

Front

What happens when you translate a shape 3 units left?

Back

Every point of the shape moves 3 units to the left on the x-axis.

Front

What is the effect of a 90-degree rotation counterclockwise?

Back

A 90-degree rotation counterclockwise moves points in a circular path around the center of rotation.