3.3 Flashcard Transformations

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 the rule for translating a point (x, y) to the right by 5 units and down by 1 unit?

Back

The rule is (x + 5, y - 1).

Front

When translating a point left or right, which coordinate is affected?

Back

The x-coordinate is affected.

Front

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

Back

The coordinates change from (x, y) to (x, -y).

Front

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

Back

The coordinates change from (x, y) to (-x, y).

Front

How do the coordinates change when reflecting across the line y = -x?

Back

The coordinates change from (x, y) to (-y, -x).

Front

What is the rule for translating a point (x, y) to the left by 2 units and up by 2 units?

Back

The rule is (x - 2, y + 2).

Front

If point P is at (3, 4), where will it be after translating 2 units to the right and 8 units down?

Back

Point P' will be at (5, -4).

Front

What is the transformation rule for a reflection over the line y = x?

Back

The coordinates change from (x, y) to (y, x).

Front

What is the difference between a translation and a reflection?

Back

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