Question 1: Reflect the point (3, 5) across the y-axis and write down the new coordinates.

Answer: (-3, 5)

Question 2: Find the image of the point (−4, 2) after reflection across the y-axis.

Answer: (4, 2)

Question 3: Plot and reflect the point (1, -3) across the y-axis on the grid provided.

Answer: (-1, -3)

Question 4: A point P at (6, 4) is reflected across the y-axis. What are the coordinates of P'?

Answer: (-6, 4)

Question 5: A triangle has vertices at A(2, 3), B(5, 1), and C(4, 4). Reflect the triangle across the y-axis and list the new coordinates.

Answer: A'(-2, 3), B'(-5, 1), C'(-4, 4)

Question 6: A point is at (−7, -2). After reflection across the y-axis, what are its new coordinates?

Answer: (7, -2)

Question 7: Construct a shape on the grid that includes the points (−2, 1), (−2, 4), and (−5, 4). Reflect the shape across the y-axis and describe the new shape's vertices.

Answer: Vertices at (2, 1), (2, 4), (5, 4)

Question 8: A point moves from (−3, 7) to its reflected position across the y-axis. What is the new position?

Answer: (3, 7)

Question 9: A reflection is performed on the point (4, −6). What are the new coordinates after reflection across the y-axis?

Answer: (-4, -6)

Question 10: Explain why the point (−8, 3) when reflected across the y-axis results in (8, 3).

Answer: Because reflection across the y-axis changes the x-coordinate to its opposite, while y stays the same.

Question 11: A point at (3, -5) is reflected across the y-axis. If a student mistakenly writes the new coordinates as (3, 5), identify and explain the mistake.

Answer: The student incorrectly changed the y-coordinate instead of the x-coordinate; reflection across the y-axis only changes the x-coordinate to its opposite.