Question 1: Reflect the point (3, 5) across the y-axis. What are the new coordinates?

Answer: (-3, 5)

Question 2: If a point at (−7, 2) is reflected across the y-axis, what is its new position?

Answer: (7, 2)

Question 3: Plot the point (4, -3) and its reflection across the y-axis on the grid. Write the reflected point's coordinates.

Answer: (-4, -3)

Question 4: Calculate the reflected coordinates of (0, 8) across the y-axis.

Answer: (0, 8)

Question 5: A point is at (−6, −4). Reflect it across the y-axis. What is the resulting coordinate?

Answer: (6, -4)

Question 6: Explain the rule for reflecting a point across the y-axis in your own words.

Answer: To reflect across the y-axis, multiply the x-coordinate by -1, keeping the y-coordinate the same.

Question 7: A triangle has vertices at (2, 3), (5, 1), and (3, 4). Reflect all vertices across the y-axis. List the new coordinates.

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

Question 8: Construct a rectangle with vertices at (1, 2), (4, 2), (4, 5), and (1, 5). Reflect this rectangle across the y-axis and describe the new vertices.

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

Question 9: A point moves from (−3, 7) to its reflected point across the y-axis. What is the coordinate of the reflected point? Show your working.

Answer: (3, 7)

Question 10: A student mistakenly reflects a point at (5, -2) across the y-axis but forgets to change the sign of the x-coordinate. What is their incorrect reflected coordinate? Identify and correct the error.

Answer: Incorrect: (5, -2). Correct: (-5, -2).

Question 11: Given the point (−8, 0), reflect it across the y-axis and then across the x-axis. What are the final coordinates after both reflections?

Answer: (-8, 0)

Question 12: Challenge: If a point (x, y) is reflected across the y-axis twice, what is its final position relative to the original? Explain your reasoning.

Answer: The point returns to its original position because reflecting twice across the y-axis reverses the change, resulting in the initial coordinates.