Question

Reflect the coordinates: (1,5), (3,4), (3, 2), (1,1)line x=-2 over the line x=-2​

a) (-5,1), (-3,3), (-3,5), (-1,1)

b) (-1,5), (-3,4), (-3,2), (-1,1)

c) (1,-5), (3,-4), (3,-2), (1,-1)

d) (5,-1), (3,-3), (3,-5), (1,-1)

Answer 1

Reflecting the points (1,5), (3,4), (3, 2), (1,1) over the line x=-2 results in the coordinates (-5,5), (-7,4), (-7,2), (-5,1), which do not match any of the provided answer choices.

Step-by-step explanation:

To reflect the coordinates (1,5), (3,4), (3, 2), (1,1) over the line x=-2, you need to find the corresponding points that are the same distance from the line x=-2 but on the opposite side. The reflection of any point (x,y) over the line x=c is given by (2c - x, y). So for the line x=-2, we use this formula to find the reflected points.

• The reflection of (1,5) is (2(-2) - 1, 5) which simplifies to (-5,5).
• The reflection of (3,4) is (2(-2) - 3, 4) which simplifies to (-7,4).
• The reflection of (3,2) is (2(-2) - 3, 2) which simplifies to (-7,2).
• The reflection of (1,1) is (2(-2) - 1, 1) which simplifies to (-5,1).

Therefore, the correct set of reflected coordinates is (-5,5), (-7,4), (-7,2), (-5,1). This correspond with none of the provided answer choices, indicating a possible error in the question or the answer choices.