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Unit 1

Unit 1. A ngles formed by parallel lines. Standards MCC8G1-5. The angles created when Parallel Lines Are Cut By A Transversal:. Alternate Interior Angles (congruent) Alternate Exterior Angles (congruent ) Corresponding Angles (congruent ) Vertical Angles (congruent )

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Unit 1

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  1. Unit 1 Angles formed by parallel lines. Standards MCC8G1-5

  2. The angles created when Parallel Lines Are Cut By A Transversal: • Alternate Interior Angles (congruent) • Alternate Exterior Angles (congruent) • Corresponding Angles (congruent) • Vertical Angles (congruent) • Consecutive Interior Angles (sum to 180°) • Supplementary Angles (sum to 180°)

  3. Similar Triangles • If two triangles have two congruent angle measures, then the triangles are similar. 45° 45° 50° 50°

  4. Exterior Angles of a Triangle An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. The Exterior Angle Theorem states that An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

  5. Show that m∠3 + m∠4 + m∠5 = 180˚, • given that lines land m are parallel lines and t1 & t2 are transversals. n • Find the m∠a, m∠b , and the m∠c • if line n and segment yz are parallel. Adapted from the Arizona Department of Education

  6. t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 p s

  7. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 s p

  8. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 p s

  9. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 p s

  10. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 p s

  11. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 2 1 p s

  12. Examples & Explanations t m 23° 67° n If lines m, n and p are parallel and cut by transversals t and s, find the measures of angles 1 and 2. 67° 23° p s

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