Home
Class 9
MATHS
In the following diagram, AP and BQ are ...

In the following diagram, AP and BQ are equal and parallel to each other.

Prove that :
(i) `Delta AOP ~= Delta BOQ`
(ii) AB and PQ bisect each other.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise QUESTIONS|8 Videos

  • TRIANGLES

    ICSE|Exercise 3 MARKS QUESTIONS |11 Videos

  • TRIANGLES

    ICSE|Exercise 4 MARKS QUESTIONS |24 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

In the following diagrams, ABCD is a square and APB is an equilateral triangle. In each case, (i) Prove that : Delta APD ~= Delta BPC (ii) Find the angles of Delta DPC

In the adjoining figure AB = CD and AB"||"CD prove that : (i) DeltaAOB cong DeltaDOG (ii) AD and BC bisect each other at point O.

In the adjoining figure, AB = CD and AB||CD prove that (i) DeltaAOB cong DeltaDOC (ii) AD and BC bisect each other at the point O.

In the following figure, OA = OC and AB = BC. Prove that : (i) angle AOB = 90^(@) (ii) Delta AOD ~= Delta COD (iii) AD = CD

In the following diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines at points A, B, C and P, Q, R as shown. Prove that : (AB)/(BC) = (PQ)/(QR) Join A and R. Let AR meets BQ at point D.

In the following diagram, AD = AB and AE bisects angle A. Prove that : (i) BE = DE (ii) angleABD gt angleC

A B is a line segment, A X and B Y are two equal line segments drawn on opposite sides of line A B such that AX||BY . If A B and X Y intersect each other at P , prove that triangle A P X~= triangle B P Y . A B and X Y bisect each other.

Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prove that A B C is equilateral.

if diagonals of a parallelogram bisect each other,prove that its a rhombus

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD arediameters, (ii) ABCD is a rectangle

ICSE-TRIANGLES -EXERCISE 9(B)
  1. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  2. In the following diagrams, ABCD is a square and APB is an equilateral ...

    Text Solution

    |

  3. In the figure, given below, triangle ABC is right-angled at B. ABPQ an...

    Text Solution

    |

  4. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

    Text Solution

    |

  5. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

    Text Solution

    |

  6. In the parallelogram ABCD, the angles A and C are obtuse. Points X and...

    Text Solution

    |

  7. ABCD is a parallelogram. The sides AB and AD are produced to E and F r...

    Text Solution

    |

  8. In the following figures, the sides AB and BC and the median AD of tri...

    Text Solution

    |

  9. In the following diagram, AP and BQ are equal and parallel to each oth...

    Text Solution

    |

  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

    Text Solution

    |

  11. The following figure shows a triangle ABC in which AB = AC. M is a poi...

    Text Solution

    |

  12. In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is p...

    Text Solution

    |

  13. PQRS is a parallelogram. L and M are points on PQ and SR respectively ...

    Text Solution

    |

  14. In the following figure, ABC is an equilateral triangle in which QP is...

    Text Solution

    |

  15. In the following figure, angle A = angle C and AB = BC. Prove tha...

    Text Solution

    |

  16. AD and BC are equal perpendiculars to a line segment AB. If AD and BC ...

    Text Solution

    |

  17. In Delta ABC, AB = AC and the bisectors of angles B and C intersect at...

    Text Solution

    |

  18. In the following figure, AB = EF, BC = DE and angle B = angle E = 90^(...

    Text Solution

    |

  19. A point O is taken inside a rhombus ABCD such that its distances from ...

    Text Solution

    |

  20. In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle A...

    Text Solution

    |