Transformations - Translations, Rotations, Reflections

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 three main types of transformations?

Back

The three main types of transformations are translations, rotations, and reflections.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a figure from one position to another without turning it.

Front

What is the algebraic representation of a translation that moves a point (x, y) to the right by 3 units and down by 5 units?

Back

(x+3, y-5) is the algebraic representation for this translation.

Front

How do you represent a translation that moves a point (x, y) to the left by 3 units and up by 5 units?

Back

(x-3, y+5) is the algebraic representation for this translation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation.

Front

What is the angle of rotation in a 90-degree clockwise rotation?

Back

In a 90-degree clockwise rotation, each point of the figure moves 90 degrees in the clockwise direction around the center of rotation.

Front

Define reflection in the context of transformations.

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

How can you identify a dilation transformation?

Back

A dilation transformation changes the size of a figure but maintains its shape, using a scale factor.