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MJ2A

MJ2A. Ch 10.1 – Line & Angle Relationships. 28 °. x °. 62 °. Bellwork. Draw the triangle, find the value of x, then classify the triangle as acute, obtuse or right. 1. 2. 57 °. 32 °. x °. 36 °. 68 °. x °. Assignment Review. Your Classifying Triangle Poster is due today.

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MJ2A

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  1. MJ2A Ch 10.1 – Line & Angle Relationships

  2. 28° x° 62° Bellwork • Draw the triangle, find the value of x, then classify the triangle as acute, obtuse or right. 1. 2. 57° 32° x° 36° 68° x°

  3. Assignment Review • Your Classifying Triangle Poster is due today. • Make sure that your name is on the BACK, then pass it forward

  4. Before we begin…. • Please take out your notebook and get ready to work… • Today we will look at angles from a different perspective…That is angles formed by 2 parallel lines cut by a transversal…. • Before we do that we need to make sure everyone understands the vocabulary used when talking about lines and angle relationships…

  5. Objective • Students will identify line and angle relationships

  6. Vocabulary • Parallel lines – Two lines on a plane that never intersect. • Transversal – A line that intersects 2 parallel lines and creates 8 angles. • Interior angles lie inside the parallel lines • Exterior angles lie outside the parallel lines • Alternate interior angles are on opposite sides of the transversal and inside the parallel lines • Alternate exterior angles are on opposite sides of the transversal and outside the parallel lines. • Corresponding angles are in the same position on the parallel lines in relation to the transversal

  7. Properties • If two parallel lines are cut by a transversal, then the following pairs of angles are congruent. • Corresponding angles are congruent • Alternate interior angles are congruent • Alternate exterior angles are congruent • Let’s look at an example…

  8. Parallel Lines Cut by a Transversal a b c d e f g h  a = 110°

  9. Your Turn • In the notes section of your notebook draw two parallel lines cut by a transversal. Then find an acute angle and give it the measure of 60°. Then find the measure of the remaining angles.

  10. More Lines & Angle Relationships

  11. Intersecting Lines and Angles • Vertical Angles – Angles formed by two intersecting lines. Vertical angles are congruent • Example 4 1 3 2 Angles 1 & 3 are vertical angles Angles 2 & 4 are vertical angles

  12. Adjacent Angles • When two angles have the same vertex, share a common side, and do not overlap they are adjacent angles • Example Angle 1 & 2 are adjacent angles The mAOB = m1 + m2 A 1 2 B O

  13. Complimentary Angles • If the sum of the measures of two angles equal 90°, the angles are complimentary • Example: 4 3 1 2 You may see complimentary angles displayed 2 ways as pictured above. If the measures of the angles equal 90°, then they are complimentary

  14. Supplementary Angles • If the sum of two angles equals 180°, then the angles are supplementary • Example 1 2 3 4 You may see supplementary angles displayed 2 ways as pictured above. If the measures of the angles equal 180°, then they are supplementary

  15. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson • Today we discussed… • Parallel lines cut by a transversal • Vertical angles • Complimentary angles • Supplementary angles

  16. Assignment • Practice skills workbook section 10.1 Reminder • This assignment is due tomorrow.

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