Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square.
E is the mid-point of a median AD of ∆ABC and BE is produced to meet AC at F. Show that AF = 1/3 AC.
ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D.
P and Q are the mid-points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects DP at S and BQ intersects CP at R. Show that PRQS is a parallelogram
Private educational institutions – schools, colleges, universities, technical and vocational training
institutes are coming up in our country in a big way. On the other hand, educational institutes run
by the government are becoming relatively less important. What do you think would be the
impact of this? Discuss.
P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove that PQRS is a square
P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD such that AC ⊥ BD. Prove that PQRS is a rectangle.
Private educational institutions – schools, colleges, universities, technical and vocational training
institutes are coming up in our country in a big way. On the other hand, educational institutes run
by the government are becoming relatively less important. What do you think would be the
impact of this? Discuss.