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Proving Angles Congruent

Proving Angles Congruent. Lesson 2 – 5 . Check Skills You’ll Need. Find the value of each variable Fill in each blank. Perpendicular lines are two lines that intersect to form ? An angle is formed by two rays with the same endpoint. The endpoint is called the ? of the angle. . y. 130.

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Proving Angles Congruent

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  1. Proving Angles Congruent Lesson 2 – 5

  2. Check Skills You’ll Need Find the value of each variableFill in each blank.Perpendicular lines are two lines that intersect to form ? An angle is formed by two rays with the same endpoint. The endpoint is called the ? of the angle. y 130 z 55 x

  3. Identifying Angle Pairs vertical angles adjacent angles two angles whose side form two coplanar angles with a two pairs of opposite rays common side, a common vertex, and no common interior points • 3 1 • 2 • 1 • 4 3 4 2

  4. Identifying Angle Pairs complementary angles supplementary angles two angles whose measures two angles whose measures have sum 90 have sum 180 Each angle is called the Each angle is called the complement of the other. supplement of the other. • 75 • 105 2 50 • 1 • 2 1 40

  5. Example In the diagram identify pairs of numbered angles that are related as follows: a.) complementary b.) supplementary c.) vertical • angle 2 and 3 2 1 3 5 4 • angle 3 and 4, angle 4 and 5 • angle 3 and 5

  6. Example • Name two pairs of adjacent angles in the photo below b. If m /_ EFD = 27, find m/_ AFD F A E D B C

  7. Important notes Unless there are marks that give this information you CANNOT assume • Angles or segments are congruent • An angle is a right angle • Lines are parallel or perpendicular

  8. Making Conclusions From a Diagram What can you conclude from the information in the diagram? 1 2, by the markings 2 and 3, for example, are adjacent angles 4 and 5, for example, are adjacent supplementaryangles 1 and 4, for example, are vertical angles. 2 3 4 1 5

  9. Exercise T a. b. c. d. bisects e. W is the midpoint of W P Q V

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