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Do Now

C. AB , BA , and AC. A. B. Do Now. 1. Draw two points. Label one point A and the other point B . 2. Draw a line through points A and B . 3. Draw a ray with A as an endpoint and C as a point on the ray. 4. Name all the rays in your drawing . DWP #55.

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Do Now

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  1. C AB, BA, and AC A B Do Now 1. Draw two points. Label one point A and the other point B. 2. Draw a line through points A and B. 3. Draw a ray with A as an endpoint and C as a point on the ray. 4. Name all the rays in your drawing. DWP #55

  2. 2/25/2014 8-1 C Angle Relationships

  3. Congruent angleshave the same measure. Vertical anglesformed opposite each other when two lines intersect. - same measure = always congruent.

  4. Adjacent anglesside by side -have a common vertex and ray

  5. Example 1 Identify the type of each angle pair shown. 5 6 5 and 6 are opposite each other and are formed by two intersecting lines. They are vertical angles.

  6. Example 2 Identify the type of each angle pair shown. 7 and 8 are side by side and have a common vertex and ray. 7 8 They are adjacent angles.

  7. Complementary angles- two angles whose measures have a sum of 90°.

  8. Supplementary angles-two angles whose measures have a sum of 180°

  9. Example 3 Find each unknown angle measure. The angles are complementary. The sum of the measures is 90°. 71° + 1 = 90° 1 –71°–71° m1 = 19° 71°

  10. Example 4 Find each unknown angle measure. The angles are supplementary. The sum of the measures is 180°. 125° + 2 = 180° –125°–125° m2 = 55° 125° 2

  11. Example 5 Find each unknown angle measure. The angles are vertical angles. 3 82° m3 = 82° Vertical angles are congruent.

  12. M L 80° x y J K N Example 6 Find each unknown angle measure. JKL and MKN are congruent. x + y + 80° = 180° The sum of the measures is 180°. –80°–80° x + y = 100° Each angle measures half of 100°. x = 50° and y = 50°

  13. 1. Identify the type of angle pair shown. Find each unknown angle measure. 2. The angles are vertical angles. 3. The angles are supplementary. 6 7 adjacent d d = 130° 130° x = 45° 135° x

  14. 1. Identify the type of angle pair shown. A. complementary B. supplementary C. adjacent D. vertical B A

  15. 2. Identify the unknown angle measure if the angles are complementary. A. 40 B. 50 C. 90 D. 140 A 40

  16. 3. Identify the unknown angle measure if the angles are supplementary. A. y =145 B. y =125 C. y =90 D. y =35 A 55

  17. Homework • Pg. 453 #1-46 Evens

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