Transformations on the Coordinate Plane

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on the coordinate plane.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in the context of transformations.

Back

Translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a reflection in geometry?

Back

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

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.

Front

How do you represent a translation algebraically?

Back

A translation can be represented as (x,y) → (x+a, y+b), where a and b are the horizontal and vertical shifts.

Front

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

Back

The rule for reflecting a point across the y-axis is (x,y) → (-x,y).

Front

What is the rule for rotating a point 90° counterclockwise around the origin?

Back

The rule for rotating a point 90° counterclockwise is (x,y) → (-y,x).

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation.