Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you determine the translation of a point?

Back

To determine the translation of a point, you add the translation vector to the coordinates of the point.

Front

What does the translation vector (x + a, y + b) represent?

Back

It represents a translation where the x-coordinate is increased by 'a' and the y-coordinate is increased by 'b'.

Front

If a point A(2, 3) is translated 5 units down and 3 units to the right, what are the new coordinates?

Back

A'(5, -2).

Front

What is the effect of translating a shape 0 units in the x-direction?

Back

The shape will move vertically only, remaining in the same horizontal position.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected.

Front

If point A(4, 2) is reflected over the y-axis, what are the new coordinates?

Back

A'(-4, 2).

Front

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

Back

The x-coordinate remains the same, while the y-coordinate changes sign.

Front

How do you reflect a point (x, y) over the line y = x?

Back

The new coordinates will be (y, x).