Transformations Introduction

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

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

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

How do you perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to x and b to y, resulting in the new point (x+a, y+b).

Front

What does it mean to rotate a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise means turning it around a point so that the top of the shape moves to the right.

Front

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

Back

Reflecting a shape over the x-axis changes the sign of the y-coordinates of the points of the shape.

Front

What is the effect of a 360-degree rotation on a shape?

Back

A 360-degree rotation returns the shape to its original position.

Front

Identify the transformation: A shape is flipped over a vertical line.

Back

Reflection.