DOL: 12/17 Translations and Reflections

Front

What is a translation in geometry?

Back

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

Front

How do you apply a translation rule?

Back

To apply a translation rule like (x, y) → (x + a, y + b), add 'a' to the x-coordinate and 'b' to the y-coordinate of each point.

Front

What is the result of translating the point (2, 3) using the rule (x, y) → (x + 3, y + 1)?

Back

(5, 4)

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

If the point (1, 2) is reflected across the x-axis, what are the new coordinates?

Back

(1, -2)

Front

If the point (3, 4) is reflected across the y-axis, what are the new coordinates?

Back

(-3, 4)

Front

What is the rule for reflecting a point across the line y = x?

Back

The rule is (x, y) → (y, x).

Front

How do you determine the image of a point after a translation?

Back

By applying the translation rule to the coordinates of the original point.