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

Answer: 3, -5

Question 2: Given a point at (-4, 7), what are its coordinates after reflection across the x-axis?

Answer: -4, -7

Question 3: Plot the point (2, -3) on the grid. Reflect it across the x-axis and label the new point.

Answer: Plot at (2, -3), reflected at (2, 3)

Question 4: Construct a triangle with vertices at (1, 2), (4, 2), and (1, 5). Reflect the triangle across the x-axis and describe the new coordinates of each vertex.

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

Question 5: A point moves from (6, -4) after reflection across the x-axis. What was its original position?

Answer: 6, 4

Question 6: Explain why reflecting a point (x, y) across the x-axis results in (x, -y).

Answer: Because reflection over the x-axis changes the sign of the y-coordinate, reversing its position vertically while x stays the same.

Question 7: A real-world scenario: A drone flying at (10, -15) is reflected across the x-axis due to a mirroring operation. What are its new coordinates?

Answer: 10, 15

Question 8: If a point (x, y) is reflected across the x-axis to (x, -y), what are the possible coordinates after reflection for a point initially at (x, y)?

Answer: x, -y

Question 9: Challenge: A shape's vertices are at (2, 3), (5, 3), and (3, 6). Reflect the entire shape across the x-axis. Write down the new vertices.

Answer: Vertices at (2, -3), (5, -3), and (3, -6)

Question 10: Identify and correct the mistake in this reflection: A student reflected the point (4, -2) to (-4, 2) across the x-axis.

Answer: The correct reflection of (4, -2) is (4, 2). The x-coordinate should stay the same, not change sign.