Transformations - 8th Grade

Front

What is a translation in geometry?

Back

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

Front

How do you translate a point (x, y) right by 5 and up by 1?

Back

The new coordinates will be (x + 5, y + 1).

Front

What are the coordinates of point A (-3, 4) after translating it right 5 and up 1?

Back

(2, 5)

Front

What does it mean to translate a shape 3 units to the left and 9 units down?

Back

Subtract 3 from the x-coordinate and 9 from the y-coordinate.

Front

If point X is at (1, 4), where will it be after translating it 3 units left and 9 units down?

Back

(-2, -5)

Front

What is dilation in geometry?

Back

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

Front

How do you dilate a point (x, y) by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Front

What are the coordinates of point B (0, 4) after dilating it by a scale factor of 3?

Back

(0, 12)

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 does it mean to reflect a shape over the x-axis?

Back

The y-coordinates of the points are multiplied by -1.