Chapter 8 – Quadrilaterals

Example 8 : l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p. Show that l, m and n cut off equal intercepts DE and EF on q also. Example 8 : l m and n [...]

Example 7 : In triangle ABC, D, E and F are respectively the midpoints of sides AB, BC and CA show that triangle ABC is divided into four congruent Triangles by joining D E and F​. BC and CA show that triangle ABC is divided into four congruent Triangles by joining D E and F​. [...]

Example 6 : ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, show that: (i) APCQ is a parallelogram (ii) DPBQ is a parallelogram (iii) PSQR is a parallelogram Example 6 : ABCD is a [...]

Example 5 : Show that the bisectors of angles of a parallelogram form a rectangle. Example 5 : Show that the bisectors of angles of a parallelogram form a rectangle. October 15, 2020 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

Example 4 : Two parallel lines l and m are intersected by a transversal p. Show that the quadrilateral formed by the bisectors of interior angles is a rectangle. Example 4 : Two parallel lines l and m are intersected by a transversal p. Show that the quadrilateral formed by the bisectors of interior angles [...]

Example 3 : ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD ∥ AB. shown in the figure. Show that: (i) ∠DAC=∠BCA (ii) ABCD is a parallelogram Example 3 : ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD [...]

Example 2 : Show that the diagonals of a rhombus are perpendicular to each other. Example 2 : Show that the diagonals of a rhombus are perpendicular to each other. October 15, 2020 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

Example 1 : Show that each angle of a rectangle is a right angle. Example 1 : Show that each angle of a rectangle is a right angle. October 15, 2020 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,

7. ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is the mid-point of AC (ii) MD ⊥ AC (iii) CM = MA = ½ AB 7. ABC is a triangle right angled at C. [...]

6. Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other. 6. Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other. October 15, 2020 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,