4.1.2 Transformation & Congruent Shapes

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 slides a shape from one position to another without turning it.

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

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 for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rotations, translations, or reflections.

Front

How many degrees do you rotate a shape to return it to its original position?

Back

You rotate a shape 360 degrees to return it to its original position.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.

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.

Front

What is a line of reflection?

Back

A line of reflection is the line over which a shape is flipped to create a mirror image.