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Essential Question

Essential Question. What postulate(s) can be used for the diagram?. Parallel Lines, Transversals and Angles. Corresponding Angles Postulate- If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Angles 1 and 5 are congruent

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Essential Question

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  1. Essential Question What postulate(s) can be used for the diagram?

  2. Parallel Lines, Transversals and Angles Corresponding Angles Postulate- If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Angles 1 and 5 are congruent Angles 3 and 7 are congruent Angles 2 and 6 are congruent Angles 4 and 8 are congruent

  3. Parallel Lines, Transversals and Angles Alternate Interior Angles Theorem – If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Angles 3 and 6 are congruent. Angles 4 and 5 are congurent.

  4. Parallel Lines, Transversals and Angles Alternate Exterior Angles Theorem – If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Angles 1 and 8 are congruent. Angles 2 and 7 are congruent.

  5. Parallel Lines, Transversals and Angles *Different* Consecutive Angles Theorem – If two parallel lines are cut by a transversal, then the pairs of consecutive angles are supplementary. (Angle 3) + (Angle 5) = 180 (Angle 4) + (Angle 6) = 180

  6. Converse Postulates Converse - The reverse of a statement. If there is snow on the ground, then it is winter. Converse – If it is winter, then there is snow on the ground.

  7. Converses Postulates Corresponding Angles Converse - If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. Alternate Interior Angles Converse – If two lines are cut by a transversal so that the alternate interior angles are congruent, then the lines are parallel.

  8. Converses Postulates Alternate Exterior Angles Converse- If two lines are cut by a transversal so that the alternate exterior angles are congruent, then the lines are parallel. Consecutive Angles Converse - If two lines are cut by a transversal so that the consecutive angles are supplementary, then the lines are parallel.

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