The answer to the first line segment problem in the attached question is ST = 7.07 units. See the explanation below.
What is a line segment?
A line segment in geometry is defined as two different points on a line. A line segment is a section of a line that links two locations.
A line has no endpoints and stretches in both directions indefinitely, but a line segment has two defined or definite endpoints.
What is the calculation justifying the above result?
Lets explain how to find the length of a segment
- The length of a segment whose endpoints are (x1, y1) and (x2, y2) and can be founded by the rule of the distance:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Solving the problem
Recall that The line segment is ST
Where S is (-3 , 10); and
T is (-2 , 3)
If S is (x1, y1) and T (x2, y2) , thus
x1 = -3 and x2 = -2
y1 = 10 and y2 = 3.
Using the above rule,
ST = [tex]\sqrt{(-2--3)^2 + (3-10)^2}[/tex]
ST = [tex]\sqrt{(1)^2 + (-7)^2}[/tex]
ST = √ (1+49)
ST = √50
ST = 7.07
Part II - We apply same logic from Question I to question II.
Part III - The trick here is to define the coordinates of WV.
Assuming that the graph is calibrated in units of 1, then the coordinates of V = (0, 4)
W = (-2, -2)
For part IV the coordinates are:
P (-5, -)
Q (2, -4)
Part V - What is the mid point of HK if H (-1, 2) and K (-7, -4)?
We are given two coordinates H(-1, 2) and K(-7, -4)
We need to find the midpoint of HK.
We have formula to find the midpoint.
[(x1 + x2)/2 , (y1 +y2)/2]
where:
x1 = -1, y1 = 2, x2 = -7, and y2 = -4
Plugging the above in to the formula we have:
[(-1+(-7)/2), (2 + (-4))/2]
= (-8/2, -2/2)
= (-4, -1)
Hence, the midpoint of HK is:
(- 4, 1)
To solve for Part VI, apply the same logic from Part V.
Learn more about Line Segment:
https://brainly.com/question/280216
#SPJ1
