Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

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 algebraic representation of a translation 2 units left and 3 units up?

Back

(x, y) → (x - 2, y + 3)

Front

What does it mean to dilate a figure?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

What is the algebraic representation for a dilation with a scale factor of 2?

Back

(x, y) → (2x, 2y)

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 result of reflecting the point (3, 4) across the x-axis?

Back

(3, -4)

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the algebraic representation of a rotation of 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x)

Front

What is the difference between a translation and a rotation?

Back

Translation moves a figure without changing its orientation, while rotation turns a figure around a point.