Final answer:
The question asked us to find the distance between the points (-1, -2) and (1, 2). Using the distance formula, we find that the distance is √20, which simplifies to 2√5. Thus, the correct option is (d) 2√5.
Step-by-step explanation:
The question asks to find the distance between two points in a coordinate plane, which is a typical high school level mathematics problem. To find the distance between the points (-1, -2) and (1, 2), you can use the distance formula derived from the Pythagorean theorem:
Distance formula: D = √[(x2 - x1)² + (y2 - y1)²]
Let's substitute the given points (-1, -2) as (x1, y1) and (1, 2) as (x2, y2) into the formula:
Distance = √[(1 - (-1))² + (2 - (-2))²]
Distance = √[(1 + 1)² + (2 + 2)²]
Distance = √[2² + 4²]
Distance = √[4 + 16]
Distance = √20
Distance = √(4 × 5)
Distance = √4 × √5
Distance = 2√5
Therefore, the correct answer is (d) 2√5.