Home
Class 8
MATHS
Prove that each of the following diagona...

Prove that each of the following diagonals of a parallelogram divides it into two congurent triangles. The following lowing are the steps involved in proving the above results. Arrange them in sequential order.
ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VIII_C16_E04_031_Q01.png" width="80%"gt
(A) By SSS conguruence property , `Delta DAB ~= Delta BCD`.
(B) Let ABCD be a parallelogram and join BD.
(C ) `AB=CD,AD=BC`(opposite sides of parallelogram) and `BD =BD` (common side).
(D ) Similarly , AC divides the parallelogram into two congruent triangles.

A

ABCD

B

BCAD

C

BACD

D

CBAD

Text Solution

Verified by Experts

The correct Answer is:
B

(B),(C ) ,(A) and (D) is the required sequential order.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|20 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Essay type Question|3 Videos
  • Formulae

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|7 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos

Similar Questions

Explore conceptually related problems

ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C08_E04_015_Q01.png" width="80%"gt

ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C08_E04_016_Q01.png" width="80%"gt

In Fig, find the value of x . ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_IX_C12_S01_032_Q01.png" width="80%"gt

Calculate the volume of the given solid. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C06_E03_002_Q01.png" width="80%"gt

Find the area of the figure given below. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C06_E03_001_Q01.png" width="80%"gt

Find the area of figure given below. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C06_S01_001_Q01.png" width="80%"gt

Draw the bisector of angleAOB=58^(@) ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C05_S01_009_Q01.png" width="80%"gt

Find the perimeter of the figure given below. ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/PS_MATH_VII_C06_E02_011_Q01.png" width="80%"gt

Identify the cell organelle 'A' :- ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_BIO_C10_E08_018_Q01.png" width="80%"gt

How many lines of symmetry does the above figure have ?

PEARSON IIT JEE FOUNDATION-GEOMETRY -Level 1
  1. In the above figure , overline(AB)andoverline(AC) are equal chords an...

    Text Solution

    |

  2. In the above figure, O is the centre of the circle and AB=CD. If / APB...

    Text Solution

    |

  3. In the above diagram (not to scale), AB=AC=. O is the centre of the ci...

    Text Solution

    |

  4. In the figure above (not to scale), AB=CD and /A =100^(@). / C =

    Text Solution

    |

  5. In the above figure, ABCD is a cyclic quadrilateral and /BCD =2 / BAD....

    Text Solution

    |

  6. In the below figure, one part of the line of symmetrcy is given. Recon...

    Text Solution

    |

  7. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  8. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  9. In the given figure (not to scale), O is the centre of the circle. A,B...

    Text Solution

    |

  10. In the following figure ( not to scale), / ADC =60^(@), / BAD =80^(@) ...

    Text Solution

    |

  11. How many lines of symmetry does the above figure have ? <img src="ht...

    Text Solution

    |

  12. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/PSMATHVI...

    Text Solution

    |

  13. In the figure given below, bar(ED)||bar(AB) and bar(EF)||bar(BC). If /...

    Text Solution

    |

  14. The supplement of an angle and the complement of another have a sum eq...

    Text Solution

    |

  15. ABCD is a trapezium in which AB ||CD, AB =20cm, BC =10 cm, CD =10 cm a...

    Text Solution

    |

  16. P is an interior point of quadrilateral ABCD and AB =3.5cm, BC =4 cm, ...

    Text Solution

    |

  17. The angles of a triangle are in the ratio 2:3:4 . Find them The foll...

    Text Solution

    |

  18. Prove that each of the following diagonals of a parallelogram divides ...

    Text Solution

    |

  19. In a rhombus BEST,if / B=60^(@) and BT =6cm, then find the length of t...

    Text Solution

    |

  20. The following sentences are the steps involved in construction of the ...

    Text Solution

    |