Core 8 - Basics of Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry 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.

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 figures to be congruent?

Back

Figures are congruent if they have the same shape and size.

Front

How does a translation affect the size of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Front

What is the result of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates.

Front

What happens to the coordinates of a point (x, y) after a reflection over the y-axis?

Back

The coordinates change to (-x, y) after a reflection over the y-axis.