To find the length of the line segment with endpoints (4, 7) and (1, 11), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Distance = √((1 - 4)^2 + (11 - 7)^2)
Distance = √((-3)^2 + (4)^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5
So, the length of the given line segment is 5.
The line segment with endpoints (1, - 4) and (9, 2) is equal in distance to the given line segment:
To find the distance of this line segment:
Distance = √((9 - 1)^2 + (2 - (-4))^2)
Distance = √(8^2 + 6^2)
Distance = √(64 + 36)
Distance = √100
Distance = 10
So, the line segment with endpoints (1, -4) and (9, 2) is equal in distance to the given line segment.
Therefore, the answer is B. A line segment with endpoints (1, -4) and (9, 2).
Apply the Distance Formula
Consider a line segment with endpoints (4, 7) and (1, 11)
What is the length of the given line segment?
A 3
B 5
C 7
D 9
Which line segment is equal in distance to. the given line segment?
A. A line segment with endpoints (- 6, 4) and ( 2 , -5)
B A line segment with endpoints (1, - 4) and (9, 2)
C A line segment with endpoints (- 3, 1) and (4, 5)
D A line segment with endpoints (5, 3) and (1, 6)
1 answer