Question 1: What are the coordinates of the point (3, -5) after it is reflected across the y-axis?

Answer: (-3, -5)

Question 2: Calculate the new coordinates of the point (-7, 2) after reflection over the y-axis.

Answer: (7, 2)

Question 3: Plot the point (4, -3) on the grid, then reflect it across the y-axis. Write the new coordinates.

Answer: (-4, -3)

Question 4: If a drone moves from coordinate (6, 1) to its reflection point across the y-axis, what are its new coordinates?

Answer: (-6, 1)

Question 5: Explain in your own words what happens to the x-coordinate when a point is reflected across the y-axis.

Answer: The x-coordinate changes sign, becoming its opposite, while the y-coordinate stays the same.

Question 6: Construct a triangle with vertices at (2, 4), (5, 1), and (3, 3). Reflect the triangle across the y-axis and list the new vertices.

Answer: (-2, 4), (-5, 1), (-3, 3)

Question 7: A map shows a location at (8, -2). After reflecting the map across the y-axis, what is the new location?

Answer: (-8, -2)

Question 8: A robot at (–4, 7) performs a reflection across the y-axis. What are its new coordinates? Show your working.

Answer: (4, 7)

Question 9: A construction worker marks a point at (–9, 5) on a coordinate plane. They need to reflect the point across the y-axis. What point do they mark?

Answer: (9, 5)

Question 10: Identify the common mistake in transforming the point (3, –2) to (3, 2) when reflecting across the y-axis. How should it be correctly reflected?

Answer: The mistake is not changing the sign of the x-coordinate. The correct reflection of (3, –2) is (–3, –2).

Question 11: For the point (–10, 0), reflect it across the y-axis and describe the resulting point.

Answer: (10, 0)