Transformations Acc Geo TEST 24-25

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, called the image.

Front

What are the types of transformations?

Back

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

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in a given direction.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as a vector, such as , where x is the horizontal shift and y is the vertical shift.

Front

What is a reflection?

Back

A reflection 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, meaning points on the left of the y-axis will move to the right and vice versa.

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90 degrees counterclockwise?

Back

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

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

How do you calculate the coordinates after a dilation with a scale factor K?

Back

To find the new coordinates, multiply each coordinate of the original point by K.