Geometric Transformations - 4.1 - 4.3

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What are the coordinates of a point after reflection across the y-axis?

Back

If a point has coordinates (x, y), its reflection across the y-axis will be (-x, y).

Front

What is a rotation in geometry?

Back

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

Front

What are the new coordinates of point (3, -5) after reflection across the y-axis?

Back

(-3, -5)

Front

What is the rule for rotating a point 90 degrees clockwise about the origin?

Back

For a point (x, y), the new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the translation rule for moving point P(2, -9) to P'(0, -12)?

Back

(x - 2, y - 3)

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

If a point has coordinates (x, y), its reflection over the x-axis will be (x, -y).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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