Translations and Reflections

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 translate a point (x, y) 2 units to the right and 3 units up?

Back

The new coordinates will be (x+2, y+3).

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 is the line of reflection for a point reflected over the x-axis?

Back

The line of reflection is the x-axis itself.

Front

If point A(3, 2) is reflected over the y-axis, what are the new coordinates?

Back

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

Front

What happens to the y-coordinate of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign; (x, y) becomes (x, -y).

Front

How do you determine the image of a point after a reflection?

Back

Identify the line of reflection and find the point that is equidistant from the original point on the opposite side of the line.

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains unchanged.

Front

If triangle A(1, 1), B(2, 2), C(3, 3) is translated by (x+1, y-1), what are the new coordinates?

Back

A'(2, 0), B'(3, 1), C'(4, 2).

Front

What is the formula for reflecting a point (x, y) over the y-axis?

Back

The formula is (x, y) becomes (-x, y).