Translations & Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you describe a reflection?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

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

Back

(2 - 3, 3 + 2) = (-1, 5)

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting over the y-axis means that for every point (x, y), the new point will be (-x, y).

Front

If a shape is reflected over the x-axis, what happens to the y-coordinates?

Back

The y-coordinates of the points are multiplied by -1, changing their sign.

Front

What is the transformation from ABCD to A'B'C'D' if it is moved 4 units right and 2 units down?

Back

Translation.

Front

What is the best word to describe a translation?

Back

Slide.

Front

If point P(1, 2) is translated 5 units down, what are the new coordinates?

Back

(1, 2 - 5) = (1, -3)

Front

What is the effect of a reflection over the line y = x?

Back

The coordinates of each point (x, y) become (y, x).

Front

How do you translate a shape 6 units down and 3 units left?

Back

Subtract 6 from the y-coordinate and 3 from the x-coordinate of each point.