Translations

Front

What is a translation in geometry?

Back

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

Front

How do you describe a translation mathematically?

Back

A translation can be described using a vector, such as (x+a, y+b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What does it mean to translate a shape 5 units right and 2 units down?

Back

It means to move the shape 5 units to the right on the x-axis and 2 units down on the y-axis.

Front

If a point (3, 4) is translated 2 units left and 3 units up, what are the new coordinates?

Back

The new coordinates are (1, 7).

Front

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

Back

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

Front

How can you represent the translation of a triangle with vertices A(1,2), B(3,4), and C(5,6) by the vector (2, -3)?

Back

The new vertices will be A'(3,-1), B'(5,1), and C'(7,3).

Front

What is the difference between translation and reflection?

Back

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

Front

If a quadrilateral is translated 8 units down and 5 units to the right, what is the translation vector?

Back

The translation vector is (5, -8).

Front

How do you find the image of a point after translation?

Back

To find the image of a point after translation, add the translation vector to the original coordinates of the point.

Front

What is the translation of the point (0, 0) by the vector (3, 4)?

Back

The translated point is (3, 4).