Geometric Transformations Open Note Flashcard

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 it.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometric transformations.

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 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 perform a translation of a point (x, y) by (a, b)?

Back

To translate the point (x, y) by (a, b), you add a to x and b to y, resulting in the new point (x + a, y + b).

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

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

Front

What is the rule for rotating a point (x, y) 90° counterclockwise about the origin?

Back

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

Front

If point A is at (3, 4), what is its reflection A' over the y-axis?

Back

The reflection A' over the y-axis is at (-3, 4).

Front

What is the result of translating point B(2, 3) by (3, -2)?

Back

The result of translating point B(2, 3) by (3, -2) is B'(5, 1).