DOL - Reflections and Translations

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection for a reflection across the x-axis?

Back

The x-axis itself, where each point (x, y) becomes (x, -y).

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in a given direction.

Front

If a point (3, 4) is translated 5 units right and 2 units down, what are the new coordinates?

Back

(8, 2) because you add 5 to the x-coordinate and subtract 2 from the y-coordinate.

Front

What is the effect of reflecting a point across the x-axis?

Back

The y-coordinate of the point changes sign.

Front

If triangle ABC is reflected across the y-axis, what happens to the coordinates of point A(2, 3)?

Back

Point A becomes A'(-2, 3).

Front

What is the result of translating a point (1, -1) two units left and three units up?

Back

The new coordinates are (-1, 2).

Front

What does the term 'pre-image' refer to in transformations?

Back

The original figure before any transformation is applied.

Front

What is the line of reflection for a reflection across the y-axis?

Back

The y-axis itself, where each point (x, y) becomes (-x, y).