Translations, Reflections and Rotations

Front

What is a translation in geometry?

Back

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

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the new point is (-x, y).

Front

What are the coordinates of the point (3, 5) after reflecting over the x-axis?

Back

(3, -5)

Front

What does it mean to rotate a shape 90° counterclockwise?

Back

To rotate a shape 90° counterclockwise, switch the coordinates (x, y) to (-y, x).

Front

If a triangle is rotated 180° around the origin, what happens to its coordinates?

Back

The coordinates (x, y) become (-x, -y).

Front

What is the result of translating the point (1, 2) 3 units left and 2 units up?

Back

(-2, 4) - Move left subtracts from x, move up adds to y.

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

How do you perform a translation of a shape?

Back

To translate a shape, add or subtract values from the x and y coordinates of each point of the shape.

Front

What are the coordinates of the point (4, -3) after reflecting over the y-axis?

Back

(-4, -3) - Only the x-coordinate changes sign.

Front

What is the effect of a 270° rotation counterclockwise on the point (2, 3)?

Back

The new coordinates will be (3, -2).