Transformations Flashcard #1

Front

What is a transformation in geometry?

Back

A transformation 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 a given direction.

Front

What does it mean to rotate a shape?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

How do you translate a point (x, y) 4 units to the right and 3 units up?

Back

The new coordinates will be (x + 4, y + 3).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The new coordinates will be (x, -y).

Front

If triangle ABC is translated down 9 and right 4, what are the new coordinates of point A (x, y)?

Back

The new coordinates will be (x + 4, y - 9).

Front

What is the rule for a reflection across the y-axis?

Back

The rule is (x, y) → (-x, y).