FLASHCARD: Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation of 3 units to the left and 2 units up?

Back

(x-3, y+2)

Front

If a point (5, 7) is translated 4 units down, what is the new position?

Back

(5, 3)

Front

What does the ordered pair (x, y) represent in translations?

Back

x represents horizontal movement (left/right), and y represents vertical movement (up/down).

Front

If you translate a point (2, 3) by (4, -1), what is the new point?

Back

(6, 2)

Front

What is the effect of translating a shape 0 units horizontally and 5 units down?

Back

The shape will move straight down by 5 units without any horizontal movement.

Front

True or False: A translation can change the size or shape of a figure.

Back

False. A translation only changes the position of a figure, not its size or shape.

Front

How do you translate a triangle ABC to triangle A'B'C' if the translation vector is (-3, 2)?

Back

Move each vertex of triangle ABC 3 units left and 2 units up.

Front

What is the translation vector for moving a point 6 units right and 4 units down?

Back

(6, -4)

Front

If a point (1, 2) is translated to (4, 2), what was the translation?

Back

3 units to the right.