Can someone explain/ solve 5-7 please
1 answer:
To find the midpoint of two points, we simply use the midpoint formula:
6/2 = 3
-4/2 = -2
The midpoint of line AB is (3, -2)
We can apply the same thing to the second line.
3/2
-4/2
(1.5, -2) is the midpoint for line ST
For 7, we must use the distance formula, which is:
d = √(x.2 - x.1)² + (y.2 - y.1)²
Plug in the appropriate values.
d = √(8 - 2)² + (-5 + 3)²
d = √40
40 cannot be simplified any further without becoming a decimal.
However, if you need the decimal, the distance between points E and F is equal to 6.32, or √40
I hope this helps!
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Answer:
The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).
Step-by-step explanation:
Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).
Let fourth point of the parallelogram is (a,b).
Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.
Midpoint formula:
Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (-2,2).
Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (2,10).
Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (8,-12).