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RHS Criteria for Congruency

21. In the gi...

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21. In the given figure in triangle QRP if AB parallel to PR then prove that QR + QP+ QM over QB+QN+QA = QP over QA

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Q. If ABC is a triangle whose orthocentre is P, circumcentre is Q then prove that

¯ ¯¯¯¯¯¯ ¯ Q A + ¯ ¯¯¯¯¯¯¯ ¯ Q B + ¯ ¯¯¯¯¯¯¯ ¯ Q C = ¯ ¯¯¯¯¯¯ ¯ Q P

Q. In the given figure , QP || XY, QX || PR and PY || QR. prove that ar(

△

△

In the given figure, QR is parallel to AB and DR is parallel to QB.
Prove that : $P Q^{2} = P D \times P A$ .

Q. In the given figure,

∠ Q P S = ∠ R P T a n d ∠ P R Q = ∠ P T S

. [4 MARKS]
(i) Prove that

Δ P Q R \sim Δ P S T

(ii) If PT:ST=3:4, find QR : PR.

Q. In these two triangles

Q M ≅ Q P

Q N

i s

a median of side

M P

Δ Q M N

be congruent to

Δ Q P N

?

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