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

Back

(x, y) --> (x + 3, y + 2)

Front

What is the algebraic notation for translating a point 5 units left and 4 units down?

Back

(x, y) --> (x - 5, y - 4)

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign: (x, y) --> (-x, y)

Front

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

Back

A' = (2, -3)

Front

What is the result of reflecting point B(-4, 5) across the y-axis?

Back

B' = (4, 5)

Front

How do you identify a reflection across the x-axis?

Back

The y-coordinates of the points change sign.

Front

What is the transformation notation for moving a shape 8 units up?

Back

(x, y) --> (x, y + 8)

Front

If triangle ABC is translated 4 units left and 3 units down, what is the new position of point A(1, 2)?

Back

A' = (-3, -1)

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line.