6.1 Translations

Front

What is a translation in geometry?

Back

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

Front

If point X is at (1, -5) and is translated 3 units to the left and 9 units down, what are the coordinates of point X'?

Back

(-2, -14)

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

How do you translate a point 4 units to the right and 2 units up?

Back

Add 4 to the x-coordinate and 2 to the y-coordinate.

Front

What are the new coordinates of point T at (2, 3) after translating it 5 units to the left and 2 units down?

Back

(-3, 1)

Front

If a triangle is translated down 3 units and left 4 units, how do you express this mathematically?

Back

(x, y) --> (x - 4, y - 3)

Front

What is the effect of translating a point 0 units horizontally and 5 units vertically?

Back

The point moves straight up by 5 units.

Front

If point A is at (6, 2) and is translated to A' at (6, -1), what translation occurred?

Back

Translated 3 units down.

Front

What is the result of translating point (3, 4) 2 units to the right and 3 units down?

Back

(5, 1)

Front

How do you find the new coordinates after a translation?

Back

Add the translation values to the original coordinates.