Translations and Reflections Review

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

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 is the result of translating a point (2, 3) 3 units to the right and 2 units down?

Back

(5, 1)

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 is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line.

Front

If point A(1, 2) is reflected over the x-axis, what are the coordinates of A'?

Back

A' = (1, -2)

Front

What is the transformation that moves a figure without changing its shape or size?

Back

Translation.

Front

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

Back

The new coordinates are (-x, y).

Front

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

Back

The y-coordinates change sign.

Front

What is the term for a transformation that turns a figure around a fixed point?

Back

Rotation.