CA#7 Review - Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, and Dilation.

Front

Define translation in geometry.

Back

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

Front

What happens to the coordinates of a point (x,y) when it is translated left by 4 units?

Back

The new coordinates will be (x-4, y).

Front

What is reflection in geometry?

Back

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

Front

What is the line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis itself, where points on the left side of the y-axis are mirrored to the right side.

Front

How do you determine if a shape has been reflected across the x-axis?

Back

If the y-coordinates of the points change sign, the shape has been reflected across the x-axis.

Front

What is a rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What does a 90° counterclockwise rotation do to the coordinates (x,y)?

Back

The new coordinates will be (-y, x).

Front

What is the effect of a dilation on a shape?

Back

Dilation changes the size of a shape but keeps its proportions the same.