If AD and PM are medians of triangles ABC and PQR, respectively where`DeltaA B C DeltaP Q R`, prove that `(A B)/(P Q)=(A D)/(P M)`

If AD and PM are medians of triangles ABC and PQR, respectively whereDeltaA B C DeltaP Q R , prove that (A B)/(P Q)=(A D)/(P M)

AD and PM are medians of triangles ABC and PQR respectively where Delta ABC ~ Delta PQR . Prove that: (AB)/(PQ)=(AD)/(PM) .

In figure ABC and AMP are two right triangles, right angles at B and M respectively. Prove that(i) DeltaA B C~ DeltaA M P (ii) (C A)/(P A)=(B C)/(M P)

In figure Cm and RN are respectively the medians of DeltaA B C and DeltaP Q R . If DeltaA B C ~DeltaP Q R , prove that: (i) DeltaA M C ~DeltaP N R (ii) (C M)/(R N)=(A B)/(P Q) (ii) DeltaC M B ~DeltaR N Q

Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of DeltaP Q R . Show that DeltaA B C~ DeltaP Q R .

In figure PS is the bisector of /_Q P R of DeltaP Q R . Prove that (Q S)/(S R)=(P Q)/(P R) .

Two sides AB and BC and median AM of one triangle ABC are respectively equal to side PQ and QR and median PN of DeltaA B C~=DeltaP Q R (see Fig. 7.40). Show that: (i) DeltaA B M~=DeltaP Q N (ii) DeltaA B C~=DeltaP Q R

p A N D q are any two points lying on the sides D C a n d A D respectively of a parallelogram A B C Ddot Show that a r( A P B)=a r ( B Q C)dot

Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Prove that Delta ABC~ Detla PQR

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR B A C D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.