Identify 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, such as translation, rotation, reflection, or dilation.

Front

Define Translation.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is Reflection?

Back

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

Front

Explain Rotation.

Back

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is Dilation?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, either enlarging or reducing it.

Front

Describe the effect of a 90° Rotation on a shape.

Back

A 90° Rotation turns a shape a quarter turn around the center of rotation.

Front

What happens during a 180° Rotation?

Back

A 180° Rotation turns a shape halfway around the center of rotation, effectively flipping it upside down.

Front

How does a shape appear after a Reflection over the x-axis?

Back

After a Reflection over the x-axis, the y-coordinates of the points of the shape are inverted, creating a mirror image across the x-axis.

Front

What is the difference between Translation and Dilation?

Back

Translation moves a shape without changing its size or orientation, while Dilation changes the size of the shape but keeps its proportions.

Front

Give an example of a real-world application of Reflection.

Back

Reflection is used in designing mirrors, where the image is flipped to create a mirror effect.