Chapter 8 – Quadrilaterals
12. E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF || AB and EF = 1/2 (AB + CD).
01
Jul
12. E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF || AB and EF = 1/2 (AB + CD). 12. E and F are respectively the mid-points of the non-parallel sides AD and BC of a trapezium ABCD. Prove that EF || AB [...]
11. Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square.
01
Jul
11. Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square. 11. Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a square is also a square. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class [...]
10. 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.
01
Jul
10. 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. 10. 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. July 1, 2021 [...]
9. In Fig. 8.11, AB || DE, AB = DE, AC || DF and AC = DF. Prove that BC || EF and BC = EF.
01
Jul
9. In Fig. 8.11, AB || DE, AB = DE, AC || DF and AC = DF. Prove that BC || EF and BC = EF. 9. In Fig. 8.11 AB = DE AC || DF and AC = DF. Prove that BC || EF and BC = EF. July 1, 2021 Category: Chapter 8 [...]
8. ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D.
01
Jul
8. ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D. 8. ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D. July 1, 2021 Category: Chapter 8 - Quadrilaterals , [...]
7. 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.
01
Jul
7. 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. 7. P and Q are the mid-points of the opposite sides AB and CD of a parallelogram ABCD. AQ intersects [...]
6. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus.
01
Jul
6. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus. 6. A diagonal of a parallelogram bisects one of its angles. Show that it is a rhombus. July 1, 2021 Category: Chapter 8 - Quadrilaterals , Maths , NCERT Class 9 ,
5. 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.
01
Jul
5. 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. -q 5. P BC CD and DA of quadrilateral ABCD in which AC = BD and AC ⊥ BD. Prove [...]
4. 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.
01
Jul
4. 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. -q 4. P BC CD and DA of a quadrilateral ABCD such that AC ⊥ BD. Prove that PQRS is a rectangle. [...]
3. P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus.
01
Jul
3. P, Q, R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus. -q 3. P BC CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus. [...]