Transformations

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 is the effect of a 180° rotation about the origin on a point (x, y)?

Back

The coordinates of the point become (-x, -y).

Front

Describe the transformation (x, y) → (x-2, y+7).

Back

This is a translation 2 units to the left and 7 units up.

Front

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

Back

The y-coordinate changes sign, so (x, y) becomes (x, -y).

Front

What are the new coordinates of point H(-6, 2) after translating 3 units right and 4 units up?

Back

The new coordinates are (-3, 6).

Front

Define reflection in geometry.

Back

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

Front

What is the result of reflecting the point (6, -5) across the x-axis?

Back

The new coordinates are (6, 5).

Front

What does the transformation (x, y) → (y, -x) represent?

Back

This transformation represents a rotation of 90 degrees clockwise.