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6. ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. Prove that BC = 2 AD.
30
Jun
6. ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. Prove that BC = 2 AD. 6. ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. Prove that BC = 2 AD. June 30, 2021 Category: Chapter 7 - Triangles , [...]
5. ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC.
30
Jun
5. ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC. 5. ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC. June 30, 2021 Category: Chapter 7 - [...]
4. P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.
30
Jun
4. P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle. 4. P is a point on the bisector of ∠ABC. If the line through P parallel to BA meet BC at Q prove that BPQ is [...]
3. ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Fig. 7.13). To prove that ∠BAD = ∠CAD, a student proceeded as follows:
30
Jun
3. ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Fig. 7.13). To prove that ∠BAD = ∠CAD, a student proceeded as follows: 3. ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD [...]
2. The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D as shown in Fig. 7.12. Prove that the image is as far behind the mirror as the object is in front of the mirror.
30
Jun
2. The image of an object placed at a point A before a plane mirror LM is seen at the point B by an observer at D as shown in Fig. 7.12. Prove that the image is as far behind the mirror as the object is in front of the mirror. 6. S is any [...]
1. Find all the angles of an equilateral triangle.
30
Jun
1. Find all the angles of an equilateral triangle. 1. Find all the angles of an equilateral triangle. June 30, 2021 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,
11. In Fig. 7.8, AD is the bisector of ∠BAC. Prove that AB > BD.
30
Jun
11. In Fig. 7.8, AD is the bisector of ∠BAC. Prove that AB > BD. 11. In Fig. 7.8 AD is the bisector of ∠BAC. Prove that AB > BD. June 30, 2021 Category: Chapter 7 - Triangles , Maths , NCERT Class 9 ,
10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC.
30
Jun
10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC. 10. Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. [...]
9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC.
30
Jun
9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC. 9. Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO [...]
8. In Fig. 7.7, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.
30
Jun
8. In Fig. 7.7, l || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively. 8. In Fig. 7.7 having its end points on l and m l || m and M [...]