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Property 1 Pairs of alternate (interior ...

Property 1 Pairs of alternate (interior or exterior) angles are equal.

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Property 3 The sum of the interior (or exterior) angles on the same sides of the transversal is 180^(@). In other words the interior (or exterior) angles on the same side of the transversal are supplementary.

Theorem 6.2 : If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

Knowledge Check

  • Two parallel lines are cut by a transversal , then which of the following are true ? 1. Pair of alternate interior angles are equal. 2. Pair of corresponding angles are equal 3. Pair of interior angles on the same side of the transversal are supplementary.

    A
    1 and 3
    B
    1 and 3
    C
    1 and 2
    D
    All of these

  • Two parallel lines are cut by a transversal, then which of the following are true? 1. Pair of alternate interior angles are equal. 2. Pair of corresponding angles are equal. 3. Pair of interior angles on the same side of the transversal are supplementary

    A
    2 and 3
    B
    1 and 3
    C
    1 and 2
    D
    All of these

  • If two parallel lines are cut by a transversal, then the alternate interior angles are equal

    A
    TRUE
    B
    FALSE
    C
    Cannot be determined
    D
    None of these

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