Two triangles are similar if they are the same, except one is bigger and one is smaller. Also, their angles are all the same. A career that uses similar triangles could be a mathematician, or a math teacher. Both of these need to be able to understand simple concepts like similar triangles to teach to their victims.
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and
where and = coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 = and -1 =
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
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Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (). Given a difference of squares, , this can always be factored into . We can use this in this case: .
So, our final factorized form is: .
Hope this helps!