Finals REVIEW - part 2 Fall2024

Front

What is rotational symmetry?

Back

Rotational symmetry is a property of a shape that looks the same after a certain amount of rotation. The number of times a shape fits onto itself during a full rotation (360 degrees) is called the order of rotational symmetry.

Front

How do you determine the order of rotational symmetry?

Back

To determine the order of rotational symmetry, rotate the shape around its center and count how many times it matches its original position before completing a full 360-degree rotation.

Front

What is the angle of rotation for a shape with an order of rotational symmetry of 5?

Back

The angle of rotation is 360 degrees divided by the order of symmetry. For order 5, the angle is 360° / 5 = 72°.

Front

What happens to a triangle when it is rotated 90° clockwise?

Back

When a triangle is rotated 90° clockwise, each point of the triangle moves to a new position that is 90° around the center of rotation, which is typically the origin.

Front

What is a reflection in geometry?

Back

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

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the same direction as the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How do you identify a transformation from one shape to another?

Back

To identify a transformation, compare the original shape and the new shape to determine if it has been rotated, reflected, or translated.

Front

What is the significance of the center of rotation?

Back

The center of rotation is the fixed point around which a shape rotates. All points in the shape move in circular paths around this point.

Front

What is the order and angle of rotation for a flower with order 6?

Back

For a flower with order 6, the angle of rotation is 360 degrees divided by 6, which equals 60 degrees.

Front

What does it mean for a shape to have an order of 4 in rotational symmetry?

Back

A shape with an order of 4 has 4 positions in which it looks the same during a full rotation of 360 degrees, meaning it can be rotated by 90 degrees to match its original position.