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Parallel lines cut by a transversal

Parallel lines cut by a transversal. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding angles postulate. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

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Parallel lines cut by a transversal

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  1. Parallel lines cut by a transversal

  2. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent Corresponding angles postulate

  3. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent Alternate interior angles postulate

  4. If two parallel lines are cut by a transversal, then the pairs of vertical angles are congruent Vertical angles postulate

  5. If two parallel lines are cut by a transversal, then the pairs of same-side interior angles are supplementary Same-Side interior angles postulate

  6. If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent Alternate exterior angles postulate

  7. Example 1: Using the Corresponding Angles Postulate Find each angle measure.

  8. Find mQRS.

  9. Example 2: Finding Angle Measures Find each angle measure. A. mEDG B. mBDG

  10. Example 3 Find mABD.

  11. State the theorem or postulate that is related to the measures of the angles in each pair. Then find the unknown angle measures. 1. m1 = 120°, m2 = (60x)° 2. m2 = (75x – 30)°, m3 = (30x + 60)° 3. m3 = (50x + 20)°, m4= (100x – 80)° 4. m3 = (45x + 30)°, m5 = (25x + 10)°

  12. Last 10! Using the Converse of the Corresponding Angles Postulate Use the Converse of the Corresponding Angles Postulate and the given information to show that ℓ || m. 4 8 4 8 4 and 8 are corresponding angles. ℓ || mConv. of Corr. s Post.

  13. LAST 10! Given: m3 = 2x, m7 = (x + 50), x = 50 Prove: r || s

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