Question 1: Reflect the point (3, -5) across the line y = -x. What are the coordinates of the reflected point?

Answer: (-5, 3)

Question 2: Given the point (-2, 4), perform the swapping and negating process to find its reflection across y = -x.

Answer: (-4, 2)

Question 3: Plot the graph of y = 2x and then reflect the point (1, 2) across y=-x. Describe the steps and draw the reflected point on the grid.

Answer: Reflection swaps the coordinates and negates the new x. The reflected point is (-2, 1).

Question 4: Construct a triangle with vertices at (2, 3), (4, -1), and (0, 0). Reflect the entire triangle across y = -x. State the new coordinates of each vertex.

Answer: Vertices after reflection: (-3, 2), (1, 4), (0, 0).

Question 5: A point moves from (5, -2) to its reflection across y = -x. Is the new point obtained by swapping the coordinates and negating the new x-coordinate? Explain.

Answer: Yes, reflection across y = -x involves swapping coordinates and negating the new x-value.

Question 6: Identify the error: The point (7, -4) reflected across y=-x is at (4, -7). Is this correct? If not, correct the mistake.

Answer: Incorrect. The correct reflection is (-4, 7).

Question 7: If a point is at (-6, 3), what is its reflection across y=-x? Show your working.

Answer: ( -3, 6 )

Question 8: A real-world scenario: A drone's position is at (4, -3). It needs to reflect its position across y = -x to navigate to a new point. What are the new coordinates?

Answer: (-3, 4)

Question 9: Challenge: Find a point on the grid that, when reflected across y=-x, lands at (2, -8). What is the original point?

Answer: (-8, 2)

Question 10: Mixed review: Reflect the point (0, -7). Describe the steps involved and provide the reflected point.

Answer: (7, 0)