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

Answer: 3, -5

Question 2: A point has coordinates (-4, 2). After reflection across the x-axis, what are its new coordinates?

Answer: -4, -2

Question 3: Plot the point (2, -3) on the grid. Then reflect it across the x-axis and mark the new position.

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 entire triangle across the x-axis and record the coordinates of the new vertices.

Answer: Vertices after reflection: (1, -2), (4, -2), (1, -5)

Question 5: Explain why reflecting a point across the x-axis changes its y-coordinate but not its x-coordinate.

Answer: Reflection across the x-axis flips the y-value because it mirrors the point over the x-axis, changing the y-coordinate's sign, while the x-coordinate remains unchanged because the point's horizontal position relative to the y-axis stays the same.

Question 6: A point originally at (0, -7) is reflected across the x-axis. What are its new coordinates? Then, verify your answer by describing the change step-by-step.

Answer: 0, 7

Question 7: A real-world scenario: A drone is located at (5, -4) relative to a starting point. After reflecting its position across the x-axis, where is the drone now? Write the coordinates.

Answer: 5, 4

Question 8: Identify and correct the mistake in this reflection: A student reflected (6, -2) across the x-axis and wrote the new point as (6, 2). What did the student do wrong?

Answer: The student correctly reflected the y-coordinate; there is no mistake. If they thought it was incorrect, the student might have mistaken the reflection, but in this case, their answer is right. If the mistake is in the process, it could be assuming reflection changes x instead of y.

Question 9: Given the point (-3, 8), perform the reflection across the x-axis twice. What are the coordinates after each reflection?

Answer: First reflection: (-3, -8); second reflection: (-3, 8)

Question 10: Challenge: A shape's vertices are (2, 3), (4, 6), and (1, 5). Reflect this shape across the x-axis and describe how the shape's size and orientation change, if at all.

Answer: The shape flips vertically but maintains its size and shape; vertices after reflection: (2, -3), (4, -6), (1, -5). The orientation changes upside down, but the shape's size and angles stay the same.