Transformations review

Front

What are transformations in geometry?

Back

Transformations are operations that alter the position, size, or shape of a figure in a coordinate plane.

Front

What is a translation in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the rule for a 90° counterclockwise rotation?

Back

The rule is (x,y) → (-y,x).

Front

What is the rule for a reflection over the x-axis?

Back

The rule is (x,y) → (x,-y).

Front

What is the rule for a reflection over the y-axis?

Back

The rule is (x,y) → (-x,y).

Front

How do you translate a point (x,y) 3 units to the right and 6 units up?

Back

The new coordinates will be (x+3, y+6).

Front

What are the new coordinates of point A(2,3) after a translation of 3 units right and 2 units down?

Back

The new coordinates will be (5,1).

Front

What is the algebraic notation for a reflection over the line y=x?

Back

The notation is (x,y) → (y,x).