Quadrilaterals Exercise 8. The angles of quadrilateral are in the ratio 3 : 5 : 9 : Find all the angles of the quadrilateral. Let sollution be the common ratio between the angles. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Let ABCD be a quadrilateral whose diagonals bisect each other at right ncert solution for class 9 math chapter 8. Thus, ABCD is rhombus as it is a parallelogram whose diagonals intersect at right angle.
Therefore, diagonals are equal. Diagonal bisect each. Show that if the diagonals chaptef a quadrilateral are equal and bisect each other at right angles, then it is ncert solution for class 9 math chapter 8 square.
Thus, from iii and iii given quadrilateral ABCD is a square. ABCD is a rhombus. Thus, APCQ is a gm. Thus, quadrilateral ABED is a parallelogram Ncert Solutions For Class 10th Maths Chapter 1 because two opposite sides of a quadrilateral are equal and parallel to each.
Coass, it is a parallelogram. AC is a diagonal. Show that the quadrilateral PQRS is a rectangle. Construction, AC and BD are joined. Show that the quadrilateral PQRS is a rhombus. Show that F is the mid-point of BC. To prove, F is the mid-point of BC. Thus, F is the mid point of BC Converse of mid point theorem. Given, ABCD is a parallelogram. Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each. Thus, SR AC.
So, they will bisect each. ABC is a triangle right angled at C.
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