Translations And Reflections

Front

What is a translation in geometry?

Back

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

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, resulting in (x, -y).

Front

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

Back

The x-coordinate changes sign, resulting in (-x, y).

Front

If point A is at (3, 4), where will it be after a translation of 2 units left and 3 units down?

Back

Point A will be at (1, 1).

Front

What is the result of reflecting the point (5, -2) over the x-axis?

Back

The result is (5, 2).

Front

What is the result of reflecting the point (-3, 4) over the y-axis?

Back

The result is (3, 4).

Front

If point B is at (0, 0), where will it be after a translation of 5 units right and 2 units up?

Back

Point B will be at (5, 2).

Front

What is the effect of a translation of (x, y) --> (x - 4, y + 6)?

Back

It moves the point 4 units left and 6 units up.

Front

What is the result of translating the point (2, 3) by 3 units right and 1 unit down?

Back

The result is (5, 2).