FLASHCARD - Name the Transformation

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a figure in a plane. It can change the position, size, or orientation of the figure.

Front

What are the three main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Define reflection in geometry.

Back

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

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure rotates during a rotation transformation.

Front

How does a translation affect the coordinates of a point?

Back

In a translation, the coordinates of a point (x, y) change to (x + a, y + b), where 'a' and 'b' are the distances moved in the x and y directions, respectively.

Front

What happens to a figure during a reflection over the x-axis?

Back

When a figure is reflected over the x-axis, the y-coordinates of its points change sign, resulting in a mirror image across the x-axis.

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a figure is rotated around a center point.

Front

Can a transformation change the size of a figure?

Back

No, transformations like translation, rotation, and reflection do not change the size of a figure; they only change its position or orientation.