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ANGLES

Learn about different types of angles including right, acute, obtuse, and straight angles. Explore concepts such as congruent angles, adjacent angles, vertical angles, complimentary angles, supplementary angles, and angles formed by a transversal.

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ANGLES

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  1. ANGLES

  2. A B C Naming An Angle 5

  3. B A A A B C B B C A C C Types Of Angles There are four main types of angles. Right angle 90o Acute angle Less than 90o Obtuse angle More than 90o Straight angle 180o

  4. D 300 E F D A 300 300 E F B C Congruent Angles Two angles that have the same measure are called congruent angles. Congruent angles have the same size and shape.

  5. A D Common ray B C Common vertex Adjacent Angles Two angles that have acommon vertexand acommon rayare called adjacent angles.

  6. A C D B Vertical Angles Vertically opposite angles are pairs of angles formed bytwo lines intersecting at a point. P Vertically opposite angles arecongruent.

  7. A D 600 300 B E C F Complimentary Angles Complementary Angles add up to 900

  8. A P 1000 800 B Q R C Supplementary Angles Supplementary angles add up to 1800 They will typically form a straight angle together

  9. G B A C D F Pairs Of Angles Formed by a Transversal A line that intersects two or more lines at different points is called a transversal. (transversal) P Q

  10. L Line L G Line M P A B Line N Q D E F Corresponding Angles Corresponding angles are angles in the same spot in both lines ÐGPB = ÐPQE ÐGPA = ÐPQD ÐBPQ = ÐEQF ÐAPQ = ÐDQF Corresponding pairs of angles are congruent.

  11. L Line L G Line M P A B Line N Q D E F Alternate Interior Angles Alternate interior angles are formed on opposite sides of the transversal on the inside of the lines. ÐBPQ = ÐDQP ÐAPQ = ÐEQP Alternate interior angles are congruent.

  12. L G A P B Q D E F Alternate Exterior Angles Alternate exterior angles are formed on opposite sides of the transversal and on the outside of the lines. ÐBPG = ÐDQF ÐAPG = ÐEQF Alternate exterior angles are congruent.

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