Home
Class 10
MATHS
In the figure /ABC=75^(@) /EDC=75^(@) ...

In the figure `/_ABC=75^(@)`
`/_EDC=75^(@)`
State which two triangles are similar and by which test? Also

write the similarity of these two triangles by a proper one to one correspondence.

Text Solution

Verified by Experts

In `DeltaDCE` and `DeltaBCA`
`/_CDE~=/_CBA` ……(Each measures `75^(@)`)
`/_DCE~=/_BCA` ..(Common angle)
`:.DeltaDCE~DeltaBCA`……….(AA test of similarity)
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGING QUESTIONS|8 Videos

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ TYPE|15 Videos

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 2.5 (4 mark each)|3 Videos

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos

  • STATISTICS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (MCQs)|35 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, angleABC = 75^@ , angleEDC = 75^@ . State which two triangle are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

Two triangle are called similar if

Similarity of Two Triangles

If triangle ABC triangle PQR , then write the corresponding angles of the two triangles and write the ratios of corresponding sides.

Are the triangle shown in the figure below similar? If so, by which test of similarity?

Ratio of areas of two similar triangles are

Two triangles are similar if their corresponding sides are ………….

Are the triangles in following figures similar? If yes by which test?

Triangle ABC and DEF are similar. If AC = 19 cm and DF = 8 cm , the ratio of the area of two triangles are :

NAVNEET PUBLICATION - MAHARASHTRA BOARD-SIMILARITY-EXAMPLE TYPE
  1. In DeltaABC,ray BD bisects angleABC and ray CE bisects angleACB. If se...

    Text Solution

    |

  2. In the adjoining figure BP|AC, CQ|AB, A-P-C,A-Q-B, then prove that Del...

    Text Solution

    |

  3. In the figure /ABC=75^(@) /EDC=75^(@) State which two triangles are...

    Text Solution

    |

  4. Are the triangles in following figures similar? If yes by which test...

    Text Solution

    |

  5. As shown in the figures, two poles of height 8m and 4m are perpendicul...

    Text Solution

    |

  6. In DeltaABC, AP |BC, BQ|AC. B-P-C,A-Q-C, then prove that DeltaCPA~De...

    Text Solution

    |

  7. Given: In trapezium PQRS, sides PQ|| sides SR, AR=5AP,AS=5AQ, then pr...

    Text Solution

    |

  8. In trapezium ABCD side AB|| side DC, diagonals AC and BD intersect In ...

    Text Solution

    |

  9. square ABCD is a parallelogram point E is on side BC. Line DE intersec...

    Text Solution

    |

  10. In the figure, set aC and seg BD intersect each other in point P and (...

    Text Solution

    |

  11. In the figure in DeltaABC, point D on side BC is such that /BAC=/ADC. ...

    Text Solution

    |

  12. The ratio of corresponding sides of similar triangles is 3 : 5, then w...

    Text Solution

    |

  13. If DeltaABC~DeltaPQR and AB:PQ=2:3, then fill in the blanks: (A(Delt...

    Text Solution

    |

  14. If DeltaABC~DeltaPQR,A(DeltaABC)=80, A (DeltaPQR)=125, then fill in th...

    Text Solution

    |

  15. DeltaLMN~DeltaPQR, 9xxA(DeltaPQR)=16xxA(DeltaLMN). If QR=20, then find...

    Text Solution

    |

  16. Areas of two similar triangles are 225 sq cm and 81 sq cm. If a side o...

    Text Solution

    |

  17. DeltaABC and DeltaDEF are equilateral triangles. If A(DeltaABC):A(Del...

    Text Solution

    |

  18. In the figure seg PQ|| seg DE, A(DeltaPQF)=20 units PF=2DP,then find ...

    Text Solution

    |

  19. In DeltaABC and DeltaPQR in a one-to-one correspndence (AB)/(QR)=(BC)/...

    Text Solution

    |

  20. If in DeltaDEF and DeltaPQR,/D~=/Q,./R~=/E, then when of the followin...

    Text Solution

    |