Home
Class 10
MATHS
In triangleABC, two points D and E are t...

In `triangleABC`, two points D and E are taken on the lines AB and BC respectively in such a way that AC is parallel to DE. Then `triangleABC` and `triangleDBE` are___

A

similar only D lies outside the line segment AB

B

Congruent only is D lies outside the line Segment AB

C

always similar

D

always congruent

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RK MISSION BOYS' HOME HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos
  • Simple Interest

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

In triangleABC , D and E lie on AB andAC respectively such that DE||BC and AD:DB = 3:1 then calcualte AE:EC.

In triangleABC , D and E are the points on AB and AC in such a way that DE||BC and AD:DB = 3:1. If EA = 3.6cm then AC=?

The point D and E are situated on the sides AB and AC of DeltaABC in such a way that DE||BC and AD : DB=3 :1 , If EA=3.3cm , then the length of AC is

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

In triangleABC , D and E are two points on AB and AC such that DE || BC and AD : BD = 3 : 2, then DE : BC =

In triangleABC , a straight line parallel to BC intersects AB and AC at P and Q respectively. If AB = 3PB, then PQ : BC =

D and E lie on the side AB and AC of DeltaABC such that DeltaDBC=DeltaEBC , Prove that DE || BC.

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)

UNITED BOOK HOUSE-Similarity-Exercise
  1. In triangleXYZ and triangleABC. If XY/BC = YZ/AC = XZ/AB, then

    Text Solution

    |

  2. In a △PQR, ∠Q =55° and ∠R = 35°. Find the ratio of angles subtended by...

    Text Solution

    |

  3. If triangleABC and triangleDEF, angleA = angleE and angleF = angleB th...

    Text Solution

    |

  4. In triangleABC, D and E are two points on AB and AC such that DE || BC...

    Text Solution

    |

  5. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Then find...

    Text Solution

    |

  6. In triangleABC and triangleDEF, AB = DE and BC = EF. Then one can inte...

    Text Solution

    |

  7. The perimeters of two similar triangles triangleABC and trianglePQR ar...

    Text Solution

    |

  8. In triangleABC, two points D and E are taken on the lines AB and BC re...

    Text Solution

    |

  9. In a right angled triangleABC, triangleABC = 90^@, BN is perpendicular...

    Text Solution

    |

  10. A vertical stick 20 m long casts a shdow 10 m long on the ground At th...

    Text Solution

    |

  11. Sides of two similar triangles are in the ratio 4 : 9. Areas of these ...

    Text Solution

    |

  12. Two isosceles triangles have equal angles and their areas are in the r...

    Text Solution

    |

  13. The areas of two similar triangles are 9 cm^2 and 16 cm^2 respectively...

    Text Solution

    |

  14. If triangleABC and triangleDEF are two triangles such that AB/DE = BC/...

    Text Solution

    |

  15. In triangleABC, a line XY parallel to BC cuts AB at X and AC at Y. If ...

    Text Solution

    |

  16. If triangleABC and triangleDEF are similar such that angleA = 47^@, an...

    Text Solution

    |

  17. In a trapezium ABCD, BC AD and AD = 4 cm. the two diagonals AC and BD ...

    Text Solution

    |

  18. If triangleABC ~ triangleDEF such that AB = 9.1 cm and DE = 6.5 cm. I...

    Text Solution

    |

  19. Base of a triangle is 9 and height is 5. Base of another triangle is 1...

    Text Solution

    |

  20. In the adjacent fig if angleADE = angleABC, then CE

    Text Solution

    |