**ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.**

## Ncert Math Solutions Class 9th Chapter 8 Quadrilaterals Exercise 8.2 Question 1

**ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Figure). AC is a diagonal. Show that :**

## Ncert Math Solutions Class 9th Chapter 8 Quadrilaterals Exercise 8.1 Question 12

## Ncert Math Solutions Class 9th Chapter 8 Quadrilaterals Exercise 8.1 Question 11

In and , AB = DE, , BC = EF and . Vertices A, B and C are joined to vertices D, E and F respectively (See figure). Show that

## Ncert Math Solutions Class 9th Chapter 8 Quadrilaterals Exercise 8.1 Question 10

**ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD (see Figure). Show that:**