GEO #5 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 in geometry?

Back

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

Front

Define reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does it mean for a shape to have rotational symmetry?

Back

A shape has rotational symmetry if it can be rotated around a center point and still look the same at certain angles.

Front

What is the algebraic rule for translating a point (x, y) to the right by 3 units and up by 2 units?

Back

(x, y) --> (x + 3, y + 2)