Transformations Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

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 geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation in geometry?

Back

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

Front

What does reflection mean in geometry?

Back

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

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns the shape 90 degrees to the right.

Front

How do you identify a reflection across the x-axis?

Back

A reflection across the x-axis changes the sign of the y-coordinates of the points in the shape.

Front

What is the rule for translating a point (x, y) 2 units up and 1 unit left?

Back

The rule is (x - 1, y + 2).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

A 180-degree rotation transforms the point (x, y) to (-x, -y).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.