Geometric Translations

Front

What is a geometric translation?

Back

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

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

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

Front

If a point (2, 3) is translated 2 units to the right and 3 units down, what is the new point?

Back

(4, 0)

Front

What happens to the shape during a translation?

Back

The shape remains congruent; its size and shape do not change.

Front

In a translation, what do we do to the x-coordinate?

Back

We add or subtract a value to the x-coordinate.

Front

In a translation, what do we do to the y-coordinate?

Back

We add or subtract a value to the y-coordinate.

Front

What is the result of translating the point (1, 2) 3 units left and 4 units up?

Back

(-2, 6)

Front

What is the relationship between the preimage and image in a translation?

Back

The preimage and image are congruent.

Front

If trapezoid ABCD is translated 5 units down and 5 units to the right, what is the new position of point A if A is at (1, 1)?

Back

(6, -4)

Front

What is the effect of translating a shape on its orientation?

Back

The orientation of the shape remains the same after translation.