Translations in Geometry -- short flashcard

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation?

Back

A translation can be described using a vector that indicates the direction and distance of the movement.

Front

What is the algebraic notation for translating a point (x, y) 2 units right and 5 units up?

Back

(x, y) --> (x + 2, y + 5)

Front

If a triangle is translated 3 units left and 2 units down, what is the new position of point (4, 5)?

Back

(1, 3)

Front

What does the vector (3, -2) represent in a translation?

Back

It represents a translation of 3 units to the right and 2 units down.

Front

How do you translate a shape 5 units to the right and 3 units up?

Back

Add 5 to the x-coordinate and 3 to the y-coordinate of each point of the shape.

Front

What is the result of translating point (2, 3) by the vector (-1, 4)?

Back

(1, 7)

Front

If a rectangle is translated 4 units left, what happens to its coordinates?

Back

Subtract 4 from the x-coordinates of all vertices.

Front

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

Back

The shape remains in the same horizontal position.

Front

How do you find the new coordinates after a translation?

Back

Add the translation vector to the original coordinates.