The length of the line segment that connects vertex A and vertex B is 5 units
Step-by-step explanation:
Let us revise some facts about the horizontal and vertical segments
- The segment is horizontal if the y-coordinates of all points on the segment are equal
- The length of the horizontal segment whose endpoints are [tex](x_{1},y)[/tex] and [tex](x_{2},y)[/tex] is [tex]x_{2}-x_{1}[/tex]
- The segment is vertical if the x-coordinates of all points on the segment are equal
- The length of the vertical segment whose endpoints are [tex](x,y_{1})[/tex] and [tex](x,y_{2})[/tex] is [tex]y_{2}-y_{1}[/tex]
In Δ ABC
∵ A = (1 , -1)
∵ B = (1 , 4)
∵ C = (8 , 4)
∵ The x-coordinate of point A = 1
∵ The x-coordinate of point B = 1
∴ The x-coordinates of points A and B are equal
- The x-coordinates of A and B are equal, then the line AB is a
vertical segment
∴ The length of AB is the difference between the y-coordinates
of points A and B
∵ The y-coordinate of point A = -1
∵ The y-coordinate ob point B = 4
∴ The length of AB = 4 - (-1)
∴ The length of AB = 4 + 1
∴ The length of AB = 5 units
The length of the line segment that connects vertex A and vertex B is 5 units
Learn more:
You can learn more about the length of the segments in brainly.com/question/6564657
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