In figure `(Q R)/(Q S)=(Q T)/(P R)` and `/_1=/_2` . Show that `DeltaP Q S ~DeltaT Q R` .

In Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

In Fig. 4.100, if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

In Figure (P S)/(S Q)=(P T)/(T R) and /_P S T=/_P R Q . Prove that PQR is an isosceles triangle.

S and T are points on sides PR and QR of DeltaP Q R such that /_P=/_R T S . Show that DeltaR P Q ~DeltaR T S .

In Fig. 4.33, (P S)/(S Q)=(P T)/(T R) and /_P S T=/_P R Q . Prove that P Q R is an isosceles triangle. (FIGURE)

In figure, P Q=P R . Show that P S > P Q .

In Figure, If P Q=P T\ a n d\ /_T P S=/_Q P R , prove that \ P R S is isosceles

In Figure, P S=Q R\ a n d\ /_S P Q=/_R Q Pdot Prove that P Q S\ ~=\ Q P R ,\ P R=Q S\ a n d\ /_Q P R=\ /_P Q S

In Figure, /_P Q R=\ /_P R Q , then prove that /_P Q S=\ /_P R Tdot

In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively points on P S and R S such that P Q=R Q ,\ /_P Q T=/_R Q U\ a n d\ /_T Q S=/_U Q Sdot Prove that Q T=Q Udot