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If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

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Explore conceptually related problems

If two parallel lines are intersected by a transversal, prove that the bisectors of the two pairs of interior angles enclose a rectangle.

If two parallel lines are intersected by a transversal then prove that the bisectors of any pair of alternate interior angles are parallel.

Knowledge Check

  • If two parallel lines are intersected by a transversal , then the interior angles on the same side of the transversal are -

    A
    equal
    B
    adjacent
    C
    Supplementary
    D
    Complementary

  • If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is

    A
    1
    B
    2
    C
    3
    D
    4

  • Two parallel line l and m are intersected by a transversal p. The quadrilateral formed by the bisectors of interior angles is a

    A
    Trapezium
    B
    Kite
    C
    Parallelogram
    D
    Square

    • Similar Questions

    Explore conceptually related problems

    If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

    If two parallel lines are intersected by a transversal,prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

    If two parallel lines are intersected by a transversal; the bisector of any two corresponding angles are parallel.

    If two lines are intersected by a transversal; the bisectors of any pair of alternate interior angles are parallel.

    If two parallel lines intersected by a transversal , then name the pair of angles formed that are equal .

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