Home
Class 14
MATHS
Any two of the four triangles formed by ...

Any two of the four triangles formed by joining the mid - points of the sides of a given triangle are :

A

congurent

B

equal in area but not congruent

C

unequal in area and not congruent

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

The four triangles formed by joining the midpoints of the sides of a given triangle are equal in area: each equal to one-fourth of given triangle.

Prove that the four triangles formed by joining in pairs, the mid-points of three sides of a triangle, are congruent to each other.

In a hat harr ABC, find the measures of the angles of the triangle formed by joining the mid- points of the sides of this triangle.

Find the area of the triangle formed by joining the mid -points of the sides of the triangle ABC ,whose vertices are A(0,-1),B(2,1)andC(0,3).

A triangle is formed by joining the mid- points of the sides of a given triangle. This process is continued indefinitely. All such triangles formd are similar to one another. (True/False).

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0,-1),(2,1)and (0,3). Find the ratio of this area to the area of the given triangle.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle, whose vertices are (2, - 4), (6, 2) and (- 4, 6). Find the ratio of this area to the area of the given triangle.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. The triangle is formed by joining the mid-points of the sides AB,BC an...

    Text Solution

    |

  2. One side other than the hypotenuse of right angle isoceles triangle is...

    Text Solution

    |

  3. Any two of the four triangles formed by joining the mid - points of th...

    Text Solution

    |

  4. Delta ABC ,angle B external angle C meets at P angle A = 80 " then ...

    Text Solution

    |

  5. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  6. Incentre of a triangle lies in the interior of :

    Text Solution

    |

  7. In a triangle PQR, PQ=20 cm and PR =6 cm, the side QR is :

    Text Solution

    |

  8. The four triangles formed by joining the pairs of mid - points of the ...

    Text Solution

    |

  9. O is orthocentre of a triangle PQR, which is formed by joining the mid...

    Text Solution

    |

  10. In a DeltaABC, a line PQ parallel to BC cuts AB at P and AC at Q. If B...

    Text Solution

    |

  11. Which of the following is true, in the given figure, where AD is the a...

    Text Solution

    |

  12. If D is such a point on the side BC of triangle ABC that AB/AC=BD/CD, ...

    Text Solution

    |

  13. In right angled DeltaABC,angleB=90^(@), if P and Q are points on the ...

    Text Solution

    |

  14. If ABC is a right angled triangle at B and M, N are the mid-points of ...

    Text Solution

    |

  15. If DeltaABC and DeltaDEF are so related the (AB)/(FD)=(BC)/(DE)=(CA)/(...

    Text Solution

    |

  16. ABC is a right angle triangle at A and AD is perpendicular to the hypo...

    Text Solution

    |

  17. Let ABC be an equilateral triangle. Let BE bot CA meeting CA at E, the...

    Text Solution

    |

  18. If D, E and F are respectively the mid - points of sides BC, AC and AB...

    Text Solution

    |

  19. In the right angle triangle angle C=90^@. AE and BD are two medians of...

    Text Solution

    |

  20. ABC is a triangle and DE is drawn parallel to BC cutting the other sid...

    Text Solution

    |