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The figure formed by joining the mid-poi...

The figure formed by joining the mid-points of sides of a rectangle is

A

square

B

rhombus

C

rectangle

D

parallelogram

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Show that the figure formed by joining the midpoints of sides of a rhombus successively is a rectangle.

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 . (AS_(1))

Knowledge Check

  • If the area of the triangle formed by joining the midpoints of the sides of DeltaABC is 5 sq.unit, then the area of DeltaABC is

    A
    40 sq.unit
    B
    20 sq.unit
    C
    10sq.unit
    D
    50 sq.unit

  • The line joining the mid point of one side of a triangle from opposite vertex in called ......

    A
    ortho centre
    B
    Median
    C
    centroid
    D
    none

  • Statement 1: If the quadrilateral Q_(1) formed by joining midpoints of sides of another quadrilateral Q_(2) is cyclic, then Q_(1) is necessarily a rectangle. Statement 2 : The quadrilateral Q_(1) formed by joining midpoints of sides of another quadrilateral Q_(2) is always a parallelogram.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True, Statement-2 is True, Statement-2 NOT a correct explanation for Statement-1
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement -1 is False, Statement-2 is True

    • Similar Questions

    Explore conceptually related problems

    ABC is an equilateral triangle with side 10 cm. The perimeter of the triangle formed by joining the midpoints of the sides of Delta ABC is

    Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm. and 16 cm.

    Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm. and 16 cm.

    Fill in the Blanks :A figure formed by joining the mid points of a parallelogram is_________

    Prove that a line joining the mid points of any two sides of a Triangle is parallel to the third side. (Using Converse of Basis Proportionality theorem)

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