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

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

In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\ Q S intersect in O . Show that : (i) P Q+Q R+R S+S P > P R+Q S (ii) P Q+Q R+R S+S P<2(P R+Q S)

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 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

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

P Q R S is a cyclic quadrilateral such that P R is a diameter of the circle. If /_Q P R=67^0\ a n d\ /_S P R=72^0, then /_Q R S= (a) 41^0 (b) 23^0 (c) 67^0 (d) 18^0

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of /_\ O T S\ if P Q=8\ c m .