Geometry: Topic 3 (Transformations)

Front

What is a transformation in geometry?

Back

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

Front

What are the three main types of transformations?

Back

The three main types of transformations are translation, rotation, and reflection.

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 reflection in geometry?

Back

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

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

What is the result of rotating a point 90 degrees clockwise around the origin?

Back

The new coordinates of a point (x, y) after a 90 degrees clockwise rotation are (y, -x).

Front

What is the rule for translating a point 2 units to the right and 1 unit down?

Back

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

Front

If a point is reflected over the y-axis, what happens to its coordinates?

Back

If a point (x, y) is reflected over the y-axis, the new point will be (-x, y).

Front

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

Back

After a 180 degrees rotation, the new coordinates of the point (x, y) will be (-x, -y).