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 four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

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

Front

What is a 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, called the center of rotation, by a certain angle.

Front

What is the effect of reflecting a point across the y-axis?

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).

Front

How do you find the image of a point after a 90-degree rotation counterclockwise?

Back

To find the image of a point (x, y) after a 90-degree rotation counterclockwise, the new coordinates will be (-y, x).

Front

What happens to the coordinates of a point when it is reflected across the line y=x?

Back

When a point (x, y) is reflected across the line y=x, the new coordinates become (y, x).

Front

Define the term 'composition of transformations'.

Back

Composition of transformations refers to applying two or more transformations to a shape in sequence.

Front

What is the translation vector for moving a point from (25, -10) to (5, 30)?

Back

The translation vector is <-20, 40>.