3.1-3-3 Geo Flashcard

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a figure in a plane. This can include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The rule for translating a point (x, y) by (a, b) is (x, y) → (x + a, y + b).

Front

How do you reflect a point over the x-axis?

Back

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

Front

What are the coordinates of a point after a 180° rotation about the origin?

Back

After a 180° rotation about the origin, the coordinates of a point (x, y) become (-x, -y).

Front

What is the effect of a 90° clockwise rotation on the point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the effect of a 270° clockwise rotation on the point (x, y)?

Back

A 270° clockwise rotation transforms the point (x, y) to (-y, x).

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

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 will be (-x, y).

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.