Flashcard 12

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape 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 (a, b) down 2 units and left 6 units?

Back

The rule is: (a, b) → (a - 6, b - 2).

Front

What does it mean to rotate a point around the origin?

Back

Rotating a point around the origin means turning the point around the origin (0,0) by a certain angle, measured in degrees.

Front

What is the result of rotating the point (3, -5) 270° clockwise?

Back

The new point is (5, 3).

Front

How do you rotate a point 90° counterclockwise?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates become (-y, x).

Front

What are the coordinates of the point (6, 4) after a 90° clockwise rotation?

Back

The new coordinates are (4, -6).

Front

Define reflection in geometry.

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image of the original shape.

Front

What is the rule for reflecting a point (a, b) across the x-axis?

Back

The rule is: (a, b) → (a, -b).

Front

What is the rule for reflecting a point (a, b) across the y-axis?

Back

The rule is: (a, b) → (-a, b).