Transformations Flashcard RR

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 perform a translation of a point?

Back

To translate a point (x, y) by (a, b), you add a to the x-coordinate and b to the y-coordinate, resulting in (x+a, y+b).

Front

What are the coordinates of point G(-4, 1) after a translation of 3 units down and 5 units right?

Back

G'(-1, -2) is the result of translating G(-4, 1) 5 units right (x + 5) and 3 units down (y - 3).

Front

What happens to the coordinates of a point after a reflection over the x-axis?

Back

The y-coordinate of the point changes sign. For example, A(5, 2) becomes A'(5, -2).

Front

What is the rule for reflecting a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a specified angle and direction.

Front

What are the coordinates of point A(1, 3) after a 90° clockwise rotation?

Back

After a 90° clockwise rotation, the coordinates change to A'(3, -1).

Front

What is the transformation rule for a 180° rotation about the origin?

Back

The rule is (x, y) → (-x, -y).

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 a figure over a line, changing its orientation.

Front

What is the transformation rule for a translation of (x+8, y+4)?

Back

This rule moves a point 8 units to the right and 4 units up.