Math Transformations

Front

What is a transformation in mathematics?

Back

A transformation is a function that changes the position, size, or shape of a figure.

Front

What are the main types of transformations?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in the context of transformations.

Back

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

Front

What is rotation in transformations?

Back

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

Front

Explain reflection in transformations.

Back

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

Front

What is dilation in transformations?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you identify a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation moves points in a circular path around the center of rotation, turning them 90 degrees to the left.

Front

What happens to coordinates during a reflection across the x-axis?

Back

When reflecting across the x-axis, the y-coordinates of the points change sign, while the x-coordinates remain the same.

Front

What is the effect of translating a figure down 3 units?

Back

Translating a figure down 3 units decreases the y-coordinate of each point by 3.

Front

How do you determine the new coordinates after a transformation?

Back

To determine new coordinates, apply the transformation rules to the original coordinates.