Transformations GEO TEST 24 25

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, called the image.

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

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 not its shape, by a scale factor.

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) → (x + a, y + b), where (a, b) is the translation vector.

Front

What does a 90-degree rotation do to the coordinates (x, y)?

Back

A 90-degree rotation counterclockwise transforms (x, y) to (-y, x).

Front

What happens to the coordinates (x, y) when reflected across the y-axis?

Back

When reflected across the y-axis, the coordinates transform to (-x, y).

Front

What is the result of reflecting the point A(7, -4) across the line y=x?

Back

The coordinates of the image A' after reflection across y=x are A'(-4, 7).