Transformations

What is a dilation in geometry?

• A transformation that changes the size of a shape but keeps its proportions the same.

• A process that rotates a shape around a point.

• A method to reflect a shape over a line.

• A technique to translate a shape to a different location.

What is an example of a translation?

• An example of a translation is moving a triangle 3 units to the right and 2 units up.

• An example of a translation is rotating a triangle 90 degrees clockwise.

• An example of a translation is reflecting a triangle over the x-axis.

• An example of a translation is scaling a triangle by a factor of 2.

What does it mean to translate a shape?

• To rotate a shape around a point without changing its size.

• To reflect a shape over a line, creating a mirror image.

• To slide a shape from one position to another without changing its size, shape, or orientation.

• To resize a shape while maintaining its proportions.

What is a rotation?

• A transformation that turns a shape around a fixed point, called the center of rotation.

• A process of flipping a shape over a line to create a mirror image.

• A method of resizing a shape while maintaining its proportions.

• A technique for translating a shape from one location to another.

What are coordinates?

• A set of values that show an exact position on a coordinate plane, typically represented as (x, y).

• A method of measuring distances between points on a map.

• A type of graph used to represent data visually.

• A system for organizing information in a database.

What is the center of rotation?

• The point where all lines intersect in a shape.

• The fixed point around which a shape is rotated.

• The area where the shape is drawn.

• The edge of the shape that remains stationary.

What is the line of reflection?

• The line over which a shape is flipped to create a mirror image.

• A line that divides a shape into two equal parts without flipping.

• A line that connects two points in a shape.

• A line that represents the axis of rotation.

What is a reflection?

• A reflection is a transformation that flips a shape over a line, creating a mirror image.

• A reflection is a process of analyzing data to improve performance.

• A reflection is a type of shadow created by light.

• A reflection is a method of drawing that involves tracing over an image.

What is the difference between clockwise and counter-clockwise rotation?

• Clockwise rotation moves in the direction of a clock's hands, while counter-clockwise rotation moves in the opposite direction.

• Clockwise rotation moves in the opposite direction of a clock's hands, while counter-clockwise rotation moves in the direction of a clock's hands.

• Clockwise rotation is a circular motion that goes up, while counter-clockwise rotation goes down.

• Clockwise rotation is faster than counter-clockwise rotation.

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

• (y, -x)

• (-y, x)

• (x, y)

• (-x, -y)