Home
Class 7
MATHS
In Figure, PQ = PS and ∠ 1 = ∠ 2. ...

In Figure, PQ = PS and `∠ 1 = ∠ 2`.

(i) Is `∆PQR ≅ ∆PSR`? Give reasons.
(ii) Is QR = SR? Give reasons.

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 Fig. 6.55, QS ⊥ PR, RT ⊥ PQ and QS = RT. (i) Is ∆ QSR ≅ ∆ RTQ ? Give reasons. (ii) Is ∠ PQR = ∠ PRQ ? Give reasons.

In the given figure, QS bot PR, RT bot PQ and QS =RT Is triangleQSR =~ triangleRTQ ? Give reason. (ii) Is anglePQR = anglePRQ ? Give reason.

In figure, if PQ=6,QR=10,PS=8, find TS.

In the figure, if PQ = 6, QR = 10, PS = 4 , find TS

In the figure,AB=AD and BC=DC( i) State three pairs of equal parts in /_ABC and /_ADC( ii) Is /_ABC~=/_ADC? Give reasons (iii) Does AC bisect /_BAD? Give reasons

In the figure ,segPQ || seg SR and PQ =SR =5 cm . If QR =10 cm , then find PS . Justify your answer.

In the following figure,is 1 adjacent to 2? Give reasons

In the figure, RQ _|_ PQ, PQ _|_ PT and ST _|_ PR. Prove that: ST xx QR = PS xx PQ

A and B are respectively the points on the sides PQ and PR of a Delta PQR such that PQ =12.5 cm, PA= 5 cm, BR = 6 cm and PB = 4 cm. Is AB abs QR? Give reason for your answer.

In the adjoining figure, PQRS is a parallelogram. A and B are the mid-points of PQ of SR respectively. If PS= BR, then prove that quadrilateral ADBC is a reactangle.

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

    |