Rotation of Ordered Pairs

What are the coordinates of a point after a 90-degree clockwise rotation around the origin if the original coordinates were (2, 3)?

• (-2, -3]

• (-3, 2)

• (2, -3)

• (3, -2)

If a point is rotated 180 degrees around the origin, what will be the new coordinates if the original coordinates were (-4, 5)?

• (4, -5)

• (5, -4)

• (-4, -5)

• (4, 5)

After a 270-degree rotation around the origin, what are the new coordinates of a point with original coordinates (1, -1)?

• (1, -2)

• (1, 1)

• (-1, -1)

• (-1, 1)

When a point is rotated 360 degrees around the origin, what are the final coordinates if the initial coordinates were (0, 0)?

• (0, 1)

• (0, 0)

• (1, 0)

• (1, 1)

What is the rotational symmetry of a square?

• 4

• 8

• 6

• 2

How many lines of symmetry does a regular hexagon have?

• 6

• 10

• 8

• 4

If a triangle has rotational symmetry, what is the minimum angle of rotation that preserves its appearance?

• 90 degrees

• 180 degrees

• 60 degrees

• 120 degrees

Explain how the concept of rotation is applied in real-life scenarios such as designing logos or creating animations.

• Rotation is only used in physical movements, not in digital design

• Rotation has no impact on the visual appeal of logos or animations

• Rotation is primarily used for text alignment, not for creative purposes

• Rotation is used to animate objects, create visual effects, and add creativity to designs by spinning elements around a fixed axis.

What is the order of rotational symmetry of a circle?

• 4

• 8

• Infinite

• 2

How does the concept of rotation of ordered pairs relate to the concept of vectors in mathematics?

• Rotation of ordered pairs can be represented as vectors in mathematics.

• Rotation of ordered pairs is unrelated to vectors in mathematics.

• Rotation of ordered pairs is a concept that contradicts vectors in mathematics.

• Vectors in mathematics cannot be represented as rotations of ordered pairs.