Transformations GEO TEST 24-25

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the effect of a 180-degree rotation on a point in Quadrant I?

Back

A 180-degree rotation of a point in Quadrant I will move it to Quadrant III.

Front

How do you find the image of a point after a translation?

Back

To find the image of a point after a translation, add the translation vector to the coordinates of the original point.

Front

What is the translation vector if A(20, 30) translates to A'(25, 50)?

Back

The translation vector is <5, 20>.

Front

What are the coordinates of point A(8, 4) after a 90-degree rotation counterclockwise?

Back

The coordinates after a 90-degree rotation counterclockwise are A'(-4, 8).

Front

What does the vector < -10, 5 > represent in a transformation?

Back

The vector < -10, 5 > represents a translation that moves a point 10 units left and 5 units up.

Front

How do you express a transformation using coordinates?

Back

A transformation can be expressed using coordinates by applying a function to the original coordinates, such as (x, y) -> (x + a, y + b) for translation.

Front

What is the result of applying the vector < -3, 10 > to the point A(4, 11)?

Back

The result is A'(1, 21).