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

Answer: 3, -5

Question 2: Plot the point (−4, 2) and its reflection across the x-axis on the grid. Write the reflected point's coordinates.

Answer: −4, -2

Question 3: Given the point (0, -7), determine its reflection across the x-axis.

Answer: 0, 7

Question 1: A triangle has vertices at A(2, 4), B(5, 1), and C(3, -2). Find the coordinates of the reflected triangle across the x-axis. Explain the steps involved.

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

Question 2: A point is incorrectly reflected across the x-axis as (−3, 8). The original point was given as (−3, -8). Identify the mistake and correct it.

Answer: The reflection of (−3, -8) across the x-axis is (−3, 8). The mistake was in the sign of the y-coordinate.

Question 1: A drone flying at point (10, 15) needs to be reflected across the x-axis to avoid an obstacle. What new coordinates should it fly to?

Answer: 10, -15

Question 2: In a city grid, a delivery truck starts at (6, -3). It must reflect its route across the x-axis to reach the opposite side. Where should it go?

Answer: 6, 3

Question 1: Construct a triangle with vertices at (1, 2), (4, 5), and (6, 1). Reflect the triangle across the x-axis and describe the changes in the vertices’ coordinates.

Answer: Reflected vertices: (1, -2), (4, -5), (6, -1). Each y-coordinate changes sign.

Question 2: A reflection across the x-axis is presented with incorrect results: (2, 3) reflected as (2, -3), but (−5, 6) reflected as (−5, 6). Identify and explain the mistake.

Answer: The y-coordinate of (−5, 6) should be reflected to (−5, -6). The mistake was in not changing the sign.

Question 1: A student reflects the point (−2, 9) across the x-axis and writes the answer as (−2, 9). Is this correct? If not, what is the correct reflection?

Answer: No, the correct reflection is (−2, -9).