U3-Part 2: 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 a reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

What is the rule for translating a point (x, y) 5 units left and 1 unit up?

Back

The rule is (x - 5, y + 1).

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Front

What does the notation (x + a, y + b) represent?

Back

It represents a translation of a point (x, y) by 'a' units in the x-direction and 'b' units in the y-direction.

Front

If a shape is reflected across the y-axis, what happens to the coordinates of a point (x, y)?

Back

The coordinates become (-x, y).

Front

What is the effect of a translation of (x + 2, y - 1) on the point (3, 4)?

Back

The new coordinates will be (3 + 2, 4 - 1) = (5, 3).