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 constant distance in a specified direction.

Front

If a point (x,y) is translated by (x+3, y-2), what is the new position of the point?

Back

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

Front

What does the translation (x,y) → (x-6,y+13) represent?

Back

It represents a translation 6 units to the left and 13 units up.

Front

How do you determine the direction of translation for the y-coordinate?

Back

The direction for the y-coordinate can be either up (positive) or down (negative).

Front

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

Back

All points of the shape will have their y-coordinates decreased by 5.

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what happens to point A?

Back

Point A will move to A' where the new coordinates are (x_A + 5, y_A - 8).

Front

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

Back

The new position will be (6,2).

Front

In a translation, how does the x-coordinate change when moving to the right?

Back

The x-coordinate increases by the number of units moved to the right.

Front

What is the translation vector for moving a point 10 units left and 4 units down?

Back

The translation vector is (-10, -4).

Front

If a shape is translated 3 units to the left and 2 units up, what is the translation rule?

Back

The translation rule is (x,y) → (x-3, y+2).