Geometry - 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, 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 the effect of translating a point (x, y) 3 units left and 9 units down?

Back

The new coordinates will be (x - 3, y - 9).

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a central point and still look the same at certain angles.

Front

What is the angle of rotational symmetry for a hexagon?

Back

The angle of rotational symmetry for a hexagon is 60 degrees.

Front

How do you rotate a point 180° about the origin?

Back

To rotate a point (x, y) 180° about the origin, the new coordinates will be (-x, -y).

Front

What is a reflection in geometry?

Back

A 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, using a scale factor.

Front

If Point B is at (2, 4) and is dilated by a scale factor of 3, what are the new coordinates?

Back

The new coordinates will be (2*3, 4*3) = (6, 12).