Geometry - 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 a given direction.

Front

What is a rotation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to rotate a point 180° about the origin?

Back

Rotating a point 180° about the origin means to turn the point to the opposite side of the origin, resulting in the coordinates being negated.

Front

How do you translate a point (x,y) 2 units left and 3 units up?

Back

To translate the point (x,y) 2 units left and 3 units up, you use the rule (x,y) → (x - 2, y + 3).

Front

What is the result of reflecting the point (3,4) over the y-axis?

Back

The result of reflecting the point (3,4) over the y-axis is (-3,4).

Front

What is the effect of a dilation with a scale factor of 2?

Back

A dilation with a scale factor of 2 enlarges the shape, making it twice as large in every dimension.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips a shape over a line.