GEO Topic 3 Test: Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define line symmetry.

Back

Line symmetry occurs when a figure can be divided into two identical halves that are mirror images of each other along a line.

Front

What is rotational symmetry?

Back

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

Front

How many lines of symmetry does a regular hexagon have?

Back

A regular hexagon has 6 lines of symmetry.

Front

What is the order of rotation?

Back

The order of rotation is the number of times a figure maps onto itself during a full rotation of 360 degrees.

Front

What is the angle of rotation for a figure with order 4?

Back

The angle of rotation for a figure with order 4 is 90 degrees.

Front

What does the notation R(180°, O) represent?

Back

R(180°, O) represents a rotation of 180 degrees around point O.

Front

How do you translate a figure 4 units to the right and 9 units down?

Back

To translate a figure 4 units to the right and 9 units down, add 4 to the x-coordinate and subtract 9 from the y-coordinate of each point.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Front

What is the difference between reflectional and rotational symmetry?

Back

Reflectional symmetry involves a mirror line where one side is a mirror image of the other, while rotational symmetry involves rotating the figure around a point.