Translations

Front

Write the rule for this translation: Slide 5 up and 7 right

Back

(x, y)---->(x + 7, y + 5)

Front

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Back

Translated 8 units down and 5 units to the right

Front

Write the rule for this translation: Slide 3 up and 2 right

Back

(x, y)---->(x + 2, y + 3)

Front

Translations are always _______

Back

Congruent

Front

What is a translation in geometry?

Back

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

Front

If a point (x, y) is translated 4 units to the right and 3 units up, what is the new point?

Back

(x + 4, y + 3)

Front

What does it mean for shapes to be congruent after a translation?

Back

It means that the shapes have the same size and shape, but their positions are different.

Front

How do you represent a translation mathematically?

Back

Using the rule (x, y) --> (x + a, y + b), where a is the horizontal shift and b is the vertical shift.

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains in the same position.

Front

Can a translation change the orientation of a shape?

Back

No, a translation does not change the orientation of a shape.