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

Back

The new coordinates will be (x + 2, y + 3).

Front

If a triangle is translated 5 units down, what happens to its y-coordinates?

Back

All y-coordinates of the triangle decrease by 5.

Front

What are the coordinates of point A(2, 3) after translating it 4 units left and 2 units down?

Back

The new coordinates will be (-2, 1).

Front

What does the notation (x + a, y + b) represent in translations?

Back

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

Front

If point B(1, 2) is translated to B'(4, 5), what is the translation vector?

Back

The translation vector is (3, 3).

Front

How do you determine the translation vector from point A to point A'?

Back

Subtract the coordinates of point A from the coordinates of point A': A' - A.

Front

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

Back

The shape remains in the same position; there is no change.

Front

If a rectangle is translated 3 units to the left and 2 units up, what is the new position of its vertices?

Back

Each vertex's x-coordinate decreases by 3 and y-coordinate increases by 2.

Front

What is the result of translating point P(5, 7) by the vector (-2, -4)?

Back

The new coordinates will be (3, 3).