Extra Credit for Translations Flashcard

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the right?

Back

To translate a point (x, y) 3 units to the right, you add 3 to the x-coordinate: (x + 3, y).

Front

How do you translate a point (x, y) 6 units up?

Back

To translate a point (x, y) 6 units up, you add 6 to the y-coordinate: (x, y + 6).

Front

What are the coordinates of point T after translating it 3 units to the right and 6 units up from (2, -5)?

Back

The new coordinates would be (2 + 3, -5 + 6) = (5, 1).

Front

What does the notation (x + a, y + b) represent in translations?

Back

It represents a translation where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

If a quadrilateral is translated 6 units down and 3 units left, how do you express the new coordinates?

Back

If the original coordinates are (x, y), the new coordinates would be (x - 3, y - 6).

Front

What is the result of translating point J (3, 5) 5 units to the left and 2 units up?

Back

The new coordinates would be (3 - 5, 5 + 2) = (-2, 7).

Front

How do you express a translation that moves a shape down and to the left?

Back

You subtract from the y-coordinate for down and subtract from the x-coordinate for left.

Front

What is the effect of the transformation (x, y) --> (x + 2, y - 3)?

Back

This transformation translates the point 2 units to the right and 3 units down.

Front

If triangle A'B'C' is translated to triangle ABC, what does (x + 2, y - 9) indicate?

Back

It indicates that each point of triangle A'B'C' is moved 2 units to the right and 9 units down to reach triangle ABC.