Translating Shapes

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation?

Back

A translation can be described by the distance and direction it moves a shape, often expressed in terms of units left/right and up/down.

Front

What happens to the size and shape of a figure during a translation?

Back

The size and shape of a figure remain unchanged during a translation; only its position changes.

Front

If a shape is translated 3 units to the right and 2 units up, what are the new coordinates of the point (4, 5)?

Back

The new coordinates would be (4+3, 5+2) = (7, 7).

Front

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

Back

Translating a shape 5 units down means subtracting 5 from the y-coordinate of each point of the shape.

Front

If trapezoid ABCD is translated to A'B'C'D', how do you determine the translation vector?

Back

The translation vector can be determined by finding the difference in coordinates between corresponding points of the original and translated shapes.

Front

What does it mean to translate a shape 2 units left and 3 units down?

Back

It means to move every point of the shape 2 units to the left on the x-axis and 3 units down on the y-axis.

Front

How can you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the translation of the point (1, 2) if it is moved 4 units to the right and 3 units down?

Back

The new point would be (1+4, 2-3) = (5, -1).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a shape without changing its orientation, while a rotation turns a shape around a fixed point.