In figure, `P Q R` is a triangle in which `P Q=P R` and `S` is any point on the side `P Q` . Through `S ,` a line is drawn parallel to `Q R` and intersecting `P R` at `Tdot` Prove that `P S=P Tdot`

In Figure, P Q R is a triangle and S is any point in its interior, show that S Q+S R

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A P B Q C Rdot Prove that a r\ (\ P Q E)=\ a r\ (\ C F D)dot

In Figure, P Q R S is a rhombus in which the diagonal P R is produced to Tdot If /_S R T=152^0,\ find x ,\ y\ a n d\ z

In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respectively, the angle bisectors of /_P\ a n d\ /_Q . Line L O M is drawn parallel to P Q . Prove that: P L=Q M (ii) L O=O M

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

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.

In Figure, P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. Prove that /_R > /_P a n d /_S > /_Q Given : P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. To Prove : (i) /_R > /_P (ii) /_S > /_Q Construction : Joint P R a n d Q S

In Figure, /_Q P R=/_P Q R and M and N are respectively on sides Q R and P R of P Q R such that Q M=P N . Prove that O P=O Q , where O is the point of intersection of P M and Q Ndot

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot