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 from one position to another without turning or flipping it.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Explain reflection in geometric transformations.

Back

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

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

What is the algebraic notation for a translation that moves a point 7 units left and 4 units up?

Back

(x, y) → (x - 7, y + 4)

Front

How do you represent a rotation of 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x) for a 90-degree counterclockwise rotation.

Front

What is the algebraic representation for a reflection over the x-axis?

Back

(x, y) → (x, -y) for reflection over the x-axis.

Front

What is the scale factor in a dilation that triples the size of a figure?

Back

The scale factor is 3.

Front

If a figure is translated 5 units right and 2 units down, what is the algebraic notation?

Back

(x, y) → (x + 5, y - 2)