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 are the four main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

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

Front

What does it mean to dilate a shape?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a shape is enlarged or reduced during dilation.

Front

How do you determine the quadrant of a point in the coordinate plane?

Back

The quadrant of a point is determined by the signs of its x and y coordinates: Quadrant I (positive, positive), Quadrant II (negative, positive), Quadrant III (negative, negative), Quadrant IV (positive, negative).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).

Front

What happens to a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, it becomes (x, -y).