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 specified direction.

Front

How do you translate a point (x, y) 3 units to the right and 4 units down?

Back

The new coordinates will be (x + 3, y - 4).

Front

If point A is at (2, 3), where will A' be after translating A 3 units to the right and 4 units down?

Back

A' will be at (5, -1).

Front

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

Back

The y-coordinate changes sign, so (x, y) becomes (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, so (x, y) becomes (-x, y).

Front

If a point is reflected over the line y = x, what happens to its coordinates?

Back

The coordinates swap places, so (x, y) becomes (y, x).

Front

What is the result of reflecting the point (4, -2) over the x-axis?

Back

The result is (4, 2).

Front

What is the result of reflecting the point (-3, 5) over the y-axis?

Back

The result is (3, 5).

Front

If point J is at (1, 2), where will J' be after translating J 5 units to the left and 2 units up?

Back

J' will be at (-4, 4).

Front

What is the effect of a translation on the shape of a figure?

Back

A translation does not change the shape or size of a figure; it only changes its position.