Use the image to answer the question.

Describe at least two geometric transformations seen on the sheet music image below. Explain your answer.

An image shows a line of music. A musical staff with 5 horizontal lines is shown, containing 13 musical notes. From left to right, these are the locations of the notes: Notes 1 and 2 are on the fourth line from the bottom. They are both filled in circles. Their stems are on the right side of the circle, pointing up, and are connected by a horizontal bar. Note 3 is on the third line from the bottom. It is a filled in circle. Its stem on the right of the circle, pointing up, and has a curved line coming down from it to the right. Note 4 is on the fourth line from the bottom. It is a filled in circle. Its stem is on the right, pointing up. Notes 5 and 6 are on the second line from the bottom. They are both filled in circles. Their stems are on the right side of the circle, pointing up, and are connected by two parallel horizontal bars. Note 7 is on the top line. It is a circle that is not filled in. Its stem is on the left of the circle, pointing down. Notes 8 and 9 are on the fourth line from the bottom. They are both filled in circles. Their stems are on the left side of the circle, pointing down, and are connected by a horizontal bar. Note 10 is on the second line from the bottom, and note 11 is on the bottom line, directly below note 10. Notes 10 and 11 are both filled in circles. Their stems are on the right side of the circle and point up. Note 12 is on the fourth line from the bottom. It is a filled in circle. Its stem is on the left, pointing down, with a curved line going up from the bottom of it to the left. Note 13 is on the second line from the bottom. It is a circle that is not filled in. Its stem is on the right of the circle, pointing up.

1 answer

One geometric transformation seen on the sheet music image is rotation. Notes 7 and 13 are both circles with stems pointing in different directions than the other notes. Note 7 has a stem pointing down on the left side of the circle, while note 13 has a stem pointing up on the right side of the circle. These rotations create a different orientation for these two notes compared to the other notes on the staff.

Another geometric transformation seen on the sheet music image is reflection. Notes 8 and 9 have stems on the left side of their circles, pointing down, connected by a horizontal line. This creates a reflection of the stem and horizontal line compared to notes 1 and 2, which have stems on the right side of their circles, pointing up, and also have a horizontal connecting line. This reflection creates a symmetrical appearance between these two sets of notes.