`P Q R S` is a square. `P R` and `S Q` intersect at `Odot` State the measure of `/_P O Qdot`

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

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

P Q R S is a quadrilateral. P R\ a n d\ Q S intersect each other O . In which of the following cases, P Q R S is a parallelogram? (i) _∠P = 100°, ∠Q = 80°, ∠R = 95° (ii) /_P=85^0,\ /_Q=85^0,\ /_R=95^0 (iii) P Q=7C M ,\ Q R=7C M ,\ R S=8C M ,\ S P=8C M (iv) O P=6. 5 c m ,\ O Q=6. 5 c m ,\ O R=5. 2 c m ,\ O S=5. 2 c m

If P Q R S is a square, then write the measure of /_S R P

If P Q R S is a square, then write the measure of /_S R P

P Q and R S are two parallel chords of a circle and lines R P and S Q intersect each other at O as shown in Figure. Prove that O P=O Qdot

In Figure, P Q R S is a quadrilateral in which diagonals P R and Q S intersect in O . Show that P Q+Q R+R S+S P > P R+Q S PQ+QR+RS+SP<2 (PR+QS) Figure

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

The adjacent figure P Q R S is a trapezium in which S P || R Q , find the measures of /_P\ a n d\ /_Rdot

P Q R S is a parallelogram. P X and QY are respectively, the perpendiculars from P and Q to S R and R S produced. Prove that P X=Q Ydot