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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.

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

Knowledge Check

  • 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

  • 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

  • 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 then prove that the bisectors of any pair of alternate interior angles are parallel.

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

    Fill in the blanks in each of the following to make the statement true: (i) If two parallel lines are intersected by a transversal, then each pair of corresponding angles are.... (ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are... (iii) Two lines perpendicular to the same line are.... to each other. (iv) Two lines parallel to the same line are .......... to each other. (v) If a transversal intersects a pair of lines in such away that a pair of alternate angles are equal, then the line are... (vi) If a transversal intersects a pair of lines in such away that the sum of interior angles on the same side of transversal is 180,then the line are .......

    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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