Mathematics
In a kite shaped figure ABCD, AB = AD and CB = CD. Points P, Q and R are mid-points of sides AB, BC and CD respectively.
Prove that :
(i) ∠PQR = 90°
(ii) Line through P and parallel to QR bisects side AD.
Related Questions
In △ ABC, D is mid-point of AB and E is mid-point of BC. Calculate :
(i) DE, if AC = 6.4 cm,
(ii) ∠DEB, if ∠ACB = 63°.
In △ ABC, D, E and F are mid-points of sides AB, BC and AC respectively. Prove that AE and DF bisect each other.
P, Q, R and S are the mid points of sides AB, BC, CD and DA respectively of rhombus ABCD. Show that PQRS is a rectangle.
Under what condition will PQRS be a square ?
In a scalene triangle ABC, AD and BE are medians. F is a point on AC so that DF//BE. Show that : AC = 4 x EF.