The given triangles are similar. Find x.
1 answer:
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Answer:
M(x₄ ,y₄) = (-3.5 , 0.5) and
N (x₅ ,y₅) = ( -1 , -0.5 )
Step-by-step explanation:
Let the endpoint coordinates for the mid segment of △PQR that is parallel to PQ be
M(x₄ ,y₄) and N(x₅ ,y₅) such that MN || PQ
point P( x₁ , y₁) ≡ ( -3 ,3 )
point Q( x₂ , y₂) ≡ (2 , 1 )
point R( x₂ , y₂) ≡ (-4 , -2)
To Find:
M(x₄ ,y₄) = ? and
N (x₅ ,y₅) = ?
Solution:
We have Mid Point Formula as
As M is the mid point of PR and N is the mid point of RQ so we will have
Substituting the given value in above equation we get
∴
∴
Similarly,
∴
∴
∴ M(x₄ ,y₄) = (-3.5 , 0.5) and
N (x₅ ,y₅) = ( -1 , -0.5 )