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Aim:

Aim:. What are the theorems related to angles? (Day 2). B. C. Q. D. A. Do Now:. 70 º,. acute. 90 º,. right. 120 º,. obtuse. A. B. O. G. H. P. If two angles are straight angles, then they are congruent. Theorem #4 :. Def :. 1. 2. A. O. C.

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Aim:

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  1. Aim: What are the theorems related to angles? (Day 2) B C Q D A Do Now: 70º, acute 90º, right 120º, obtuse Geometry Lesson: Angle Theorems (Day 2)

  2. A B O G H P If two angles are straight angles, then they are congruent. Theorem #4: Geometry Lesson: Angle Theorems (Day 2)

  3. Def: 1 2 A O C Def: Supplementary Angles are two angles whose measures add up to 180 degrees. Geometry Lesson: Angle Theorems (Day 2)

  4. Ex: Supplementary Angles 3) 1) A 130º B A B B 2) A 4) B 84º A 50º 96 º Geometry Lesson: Angle Theorems (Day 2)

  5. Def: D D D A C O A C O O Def: A Linear Pair of angles is two adjacent angles whose union is a straight angle. Theorem #5: A linear pair of angles is supplementary. Geometry Lesson: Angle Theorems (Day 2)

  6. 1 Given: 2 3 Prove: Ex: Supplementary Angles Proof Given Given Def. suppl. angles Def. suppl. angles Substitution Postulate Reflexive Postulate Subtraction Postulate Geometry Lesson: Angle Theorems (Day 2)

  7. 1 2 4 3 Theorem #6: Supplements of the same angle, or congruent angles, are congruent. Theorems #6: Geometry Lesson: Angle Theorems (Day 2)

  8. A D 2 1 Given: 3 X C B Prove: Ex: Suppl. Angles Proof Given Def. Of linear pair A linear pair of angles is supplementary. Supplements of the same, or congruent angles, are congruent. Geometry Lesson: Angle Theorems (Day 2)

  9. A Def: D 2 1 3 4 C B When two lines intersect, two pairs of vertical angles are created. Def: A Vertical Pair of angles is two angles in which the sides of one angle are opposite rays to the sides of the other angle. Theorem #7:Vertical angles are congruent. Geometry Lesson: Angle Theorems (Day 2)

  10. 1) Given: 7 4 5 6 Prove: A B C D F C 2) Given: D Prove: D B A E 3) Given: B E C A Prove: Ex 1,2,3: Compl./Suppl./Vert. Angles: Geometry Lesson: Angle Theorems (Day 2)

  11. Ex 4, 5: Suppl. Angles 4) Two supplementary angles have measures in the ratio 2:7. Determine the measure of both angles. 5) The measure of an angle is 20 less than 4 times its supplement. Find the measure of the angle and its supplement. Geometry Lesson: Angle Theorems (Day 2)

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