Home
Class 7
MATHS
In Figure, ∠1 = ∠ 2 and ∠ 3 = ∠ 4 ....

In Figure, `∠1 = ∠ 2 and ∠ 3 = ∠ 4`

. (i) Is` ∆ADC ≅ ∆ ABC`? Why ?
(ii) Show that AD = AB and CD = CB.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT EXEMPLAR|Exercise EXERCISE FILL IN THE BLANKS |2 Videos

  • SIMPLE EQUATIONS

    NCERT EXEMPLAR|Exercise Thick and Discuss |6 Videos

Similar Questions

Explore conceptually related problems

In given figure,show that AB|CD

In the adjoining figure, AB = AD and CB = CD. Is /_\ ABC ~= /_\ ADC ?,

In the adjoining figure, AB = AC and BD = DC. Prove that /_\ ADB = /_\ ADC and hence show that (i) /_ ADB = /_ ADC = 90^(@) , (ii) /_ BAD = /_ CAD .

In Figure,if AB=AC and BE=CD prove that AD=AE .

In the figure, AC=20 , CB=15 , AD=24 . Find AB and BD .

In the given figure, if x = y and AB = CB , then prove that AE = CD .

In the following figure, OA = OC and AB = BC. Prove that : (i) angleAPB=90^(@) (ii) DeltaAOD cong DeltaCOD (iii) AD = CD

In Figure,AC>AB and AD is the bisector of LA. Show that ADC>/_ADB

In the figure, diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB = AD and CB = CD.

D is a point on side BC of triangle ABC such that AD = AC (see figure). Show that AB gt AD .

NCERT EXEMPLAR-TRIANGLES-EXERCISE TRUE OR FALSE
  1. In Fig. 6.45, if ST = SU, then find the values of x and y.

    Text Solution

    |

  2. Check whether the following measures (in cm) can be the sides of a rig...

    Text Solution

    |

  3. Height of a pole is 8 m. Find the length of rope tied with its top fro...

    Text Solution

    |

  4. In Fig. 6.46, if y is five times x, find the value of z.

    Text Solution

    |

  5. The lengths of two sides of an isosceles triangle are 9 cm and 20 cm. ...

    Text Solution

    |

  6. Without drawing the triangles write all six pairs of equal measures in...

    Text Solution

    |

  7. ABC is an isosceles triangle with AB = AC and D is the mid-point of ba...

    Text Solution

    |

  8. In Figure, it is given that LM = ON and NL = MO (a) State the three ...

    Text Solution

    |

  9. Triangles DEF and LMN are both isosceles with DE = DF and LM = LN, res...

    Text Solution

    |

  10. If ∆PQR and ∆SQR are both isosceles triangle on a common base QR such ...

    Text Solution

    |

  11. State which of the following pairs of triangles are congruent. If yes...

    Text Solution

    |

  12. State which of the following pairs of triangles are congruent. If yes...

    Text Solution

    |

  13. In Figure, PQ = PS and ∠ 1 = ∠ 2. (i) Is ∆PQR ≅ ∆PSR? Give reaso...

    Text Solution

    |

  14. In Figure, ∠1 = ∠ 2 and ∠ 3 = ∠ 4 . (i) Is ∆ADC ≅ ∆ ABC? Why ? ...

    Text Solution

    |

  15. Observe Figure and state the three pairs of equal parts in triangles A...

    Text Solution

    |

  16. In Fig. 6.55, QS ⊥ PR, RT ⊥ PQ and QS = RT. (i) Is ∆ QSR ≅ ∆ RTQ? ...

    Text Solution

    |

  17. Points A and B are on the opposite edges of a pond as shown in Fig. 6....

    Text Solution

    |

  18. Two poles of 10 m and 15 m stand upright on a plane ground. If the dis...

    Text Solution

    |

  19. The foot of a ladder is 6 m away from its wall and its top reaches a w...

    Text Solution

    |

  20. In Figure, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆...

    Text Solution

    |