Transformations (of Polygons)

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 the context of transformations.

Back

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

Front

What is a reflection?

Back

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

Front

What does rotation mean in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

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

How does a reflection across the x-axis affect the coordinates of a point (x, y)?

Back

A reflection across the x-axis changes the coordinates from (x, y) to (x, -y).

Front

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

Back

A reflection across the y-axis changes the coordinates from (x, y) to (-x, y).

Front

If a triangle is rotated 90 degrees clockwise, how do the coordinates change?

Back

The coordinates (x, y) change to (y, -x) after a 90-degree clockwise rotation.

Front

What is the quadrant of a point (x, y) if x > 0 and y < 0?

Back

The point (x, y) is in Quadrant IV.