Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you perform a translation of a point (x, y) 3 units left and 9 units down?

Back

To translate the point (x, y) 3 units left and 9 units down, you subtract 3 from the x-coordinate and 9 from the y-coordinate: (x - 3, y - 9).

Front

What are the coordinates of point X after translating (1, 4) 3 units left and 9 units down?

Back

The new coordinates would be (-2, -5).

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the line y = x?

Back

To reflect the point (x, y) over the line y = x, you swap the coordinates: (y, x).

Front

What is the result of reflecting point C(-6, 2) over the line y = x?

Back

The reflected point C' would be (2, -6).

Front

What is the definition of rotation in geometry?

Back

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

Front

What is a 90° clockwise rotation of point (x, y)?

Back

The coordinates after a 90° clockwise rotation would be (y, -x).

Front

What type of transformation is described by moving a shape without changing its orientation?

Back

This is called a translation.

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

The rule is (x, y) → (x - 2, y + 3).