Translations on the Coordinate Plane

Front

What is the algebraic representation of a figure translated 9 units right and 3 units down?

Back

(x, y) → (x + 9, y - 3)

Front

What does the term 'translation' mean in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

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

Back

The translation is described as moving down 9 units and right 4 units.

Front

What is the effect of translating a shape 6 units to the right?

Back

The x-coordinates of all points in the shape increase by 6.

Front

What is the effect of translating a shape 10 units up?

Back

The y-coordinates of all points in the shape increase by 10.

Front

Which of the following describes a translation: rotation, reflection, or slide?

Back

Slide.

Front

If a triangle is translated 5 units left and 2 units down, what is the algebraic representation?

Back

(x, y) → (x - 5, y - 2)

Front

What is the relationship between the original shape and its translated image?

Back

The original shape and its translated image are congruent; they have the same size and shape.

Front

How can you determine if two shapes are translations of each other?

Back

If one shape can be obtained from the other by sliding it without rotation or reflection, they are translations.

Front

What is the translation vector for moving a shape 3 units left and 4 units up?

Back

The translation vector is (-3, 4).