Geometry - Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create 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 slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a rotation?

Back

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

Front

What does it mean to reflect a shape?

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 figure but not its shape, using a scale factor.

Front

How do you apply the rule (x,y) → (y,-x) to the point (-5,6)?

Back

The new point is (6,5).

Front

What is the result of rotating the point (3,-5) 270° clockwise?

Back

The new point is (5,3).

Front

If you dilate the point (3,3) by a scale factor of 3, what is the new point?

Back

The new point is (9,9).

Front

What transformation occurs when a shape is flipped over the x-axis?

Back

This transformation is called reflection across the x-axis.