Flashcard: Translations and Vectors

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation in component form?

Back

A translation can be represented in component form as , where (a, b) is the translation vector.

Front

What does the vector <3, -2> represent?

Back

The vector <3, -2> represents a translation of 3 units to the right and 2 units down.

Front

If point A is at (2, 3) and is translated by the vector <4, -1>, where is point A' located?

Back

Point A' is located at (6, 2).

Front

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

Back

The shape remains unchanged; it is effectively the same shape in the same position.

Front

How do you translate a point (x, y) 5 units to the left and 3 units up?

Back

The new point will be (x - 5, y + 3).

Front

What is the ordered pair for the translation (x, y) -> (x + 2, y - 4)?

Back

The ordered pair represents a translation of 2 units to the right and 4 units down.

Front

What transformation occurs when a shape is flipped over a line?

Back

This transformation is called reflection.

Front

If triangle ABC is translated left 2 units and up 3 units, what is the new position of point A at (4, 5)?

Back

Point A will be at (2, 8).

Front

What is the difference between translation and rotation?

Back

Translation moves a shape without changing its orientation, while rotation turns a shape around a fixed point.