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Cartesian System

If the points...

Question

If the points P , Q, R and S are collinear points and PQ=RS then prove that PR=QS using Euclid’s postulate.

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Solution

PQ=RS
PR+QR=QS+QR
(Subtracting QR from both the sides of the equation)
PR=QS
Hence proved

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Similar questions

\vec{P Q} = \vec{a}

\vec{Q R} = \vec{b}

\vec{P R}

Δ

(A) (P R) (Q R) = R S^{2}

(B) Q S^{2} + R S^{2} = Q R^{2}

(C) P R^{2} + Q R^{2} = P Q^{2}

(D) P S^{2} + R S^{2} = P R^{2}

Q

P

R

P Q = Q R

P Q = \frac{1}{2} P R

Δ P R S, ∠ P R S = 120^{o}

Q

P R

P Q = Q S

Q R = R S

∠ Q P S = . . . .

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