Understanding Translations in Geometry

Front

What is the rule for the translation that slides a point 3 units up and 2 units to the right?

Back

(x, y) → (x + 2, y + 3)

Front

What transformation occurs when the coordinates change from (x, y) to (x + 2, y - 3)?

Back

Slide right 2, down 3

Front

Identify the translation from point A to A' if the transformation is (x + 8, y + 4).

Back

The point moves 8 units to the right and 4 units up.

Front

Write the rule for the translation that moves a point 2 units to the right and 1 unit down.

Back

(x, y) → (x + 2, y - 1)

Front

What does the term 'translation' mean in geometry?

Back

To change an object by sliding it without rotating or flipping.

Front

If a point (3, 4) is translated using the rule (x + 5, y - 2), what are the new coordinates?

Back

(8, 2)

Front

What is the effect of the translation (x - 3, y + 6) on the point (1, 2)?

Back

The new coordinates are (-2, 8).

Front

How do you express a translation that moves a point 4 units left and 3 units down?

Back

(x, y) → (x - 4, y - 3)

Front

What is the translation rule for moving a point 1 unit left and 5 units up?

Back

(x, y) → (x - 1, y + 5)

Front

If a triangle ABC is translated to A'B'C' using the rule (x + 2, y + 3), what happens to the triangle?

Back

The triangle moves 2 units to the right and 3 units up.