Translations, Rotations, Reflections, and Dilations.

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation of a shape?

Back

A translation can be described by the distance and direction it moves, such as '5 units down and 5 units to the right'.

Front

What is a reflection in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

What is a rotation in geometry?

Back

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

Front

What is the rule for rotating a point 90° clockwise around the origin?

Back

(x, y) → (y, -x).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

How do you determine the new coordinates of a point after a dilation?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

The coordinates become (-x, -y).

Front

If a triangle is translated 3 units left and 2 units up, what are the new coordinates of the point (4, 5)?

Back

The new coordinates are (1, 7).