Translation of 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 translate a point (x, y) 3 units right and 4 units up?

Back

To translate the point (x, y) 3 units right and 4 units up, you add 3 to the x-coordinate and 4 to the y-coordinate, resulting in (x+3, y+4).

Front

If point Z(−4, −3) is translated 3 units right and 4 units up, what are its new coordinates?

Back

The new coordinates are (-1, 1).

Front

What does it mean to translate a shape 1 square left and 2 squares down?

Back

It means to move every point of the shape 1 unit to the left and 2 units down from its original position.

Front

How do you determine the translation of triangle ABC to triangle A'B'C'?

Back

You identify the horizontal and vertical movements needed to align triangle ABC with triangle A'B'C'.

Front

What is the result of translating quadrilateral QUMT 4 units up?

Back

The result is that every point of quadrilateral QUMT moves 4 units higher on the coordinate plane.

Front

If square ABCD is translated 3 units left and 1 unit up, what are the new coordinates of point D if D is originally at (1, 3)?

Back

The new coordinates of point D would be (-2, 4).

Front

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

Back

Translation does not change the size or orientation of a shape; it only changes its position.

Front

What is the difference between translation and reflection in geometry?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.

Front

How can you represent a translation using vector notation?

Back

A translation can be represented using a vector, such as (3, 4), indicating movement of 3 units right and 4 units up.