Translations HW

Front

What is a translation in geometry?

Back

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

Front

How do you translate triangle ABC to triangle A'B'C'?

Back

Move left 2 units and up 9 units.

Front

If point M' (-4, 5) is translated using the rule (x, y) --> (x - 1, y), what are the coordinates of the pre-image point M?

Back

(-3, 5)

Front

What is the Algebraic Notation for the translation that moves a figure 6 units to the right and 8 units down?

Back

(x, y) --> (x + 6, y - 8)

Front

What are the new coordinates of triangle A'B'C' if triangle ABC has vertices A(6, 1), B(1, 7), and C(-3, -2) and is translated by (x, y) --> (x - 1, y + 2)?

Back

A'(5, 3), B'(0, 9), C'(-4, 0)

Front

What does the term 'pre-image' refer to in translations?

Back

The original figure before any transformation is applied.

Front

What is the effect of a translation on the size and orientation of a geometric figure?

Back

There is no change in size or orientation.

Front

If a point (x, y) is translated to (x + a, y + b), what do 'a' and 'b' represent?

Back

The horizontal and vertical shifts, respectively.

Front

What is the difference between translation and reflection?

Back

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

Front

How can you represent a translation on a coordinate plane?

Back

By using algebraic notation such as (x, y) --> (x + a, y + b).