Perpendicular Bisector Angle Bisector Vertically Opposite Alternate Angles
Perpendicular Bisector, Angle Bisector, Vertically Opposite, Alternate Angles, Corresponding Angles, Straight Angle, Supplementary, Complementary. Powerpoint Templates Page 1
Lesson 36 Angles & Triangles Powerpoint Templates Page 2
DEFINITIONS Page 60 Powerpoint Templates Page 3
DEFINITIONS An angle is made up of two rays that share the same origin B A C Powerpoint Templates Page 4
DEFINITIONS The vertex is the origin of rays (in this picture the vertex is A) B A C Powerpoint Templates Page 5
DEFINITIONS An angle is named by it’s vertex. This angle is called ∠A or ∠BAC B A C Powerpoint Templates Page 6
DEFINITIONS A Perpendicular Bisector is a straight line that forms a 90˚ angle B A Powerpoint Templates C Page 7
DEFINITIONS An Angle Bisector is a line that divide and angle in two EQUAL angles B A C Powerpoint Templates Page 8
DEFINITIONS Two intersecting lines form two pairs of vertically opposite angles B C D A Powerpoint Templates Page 9
DEFINITIONS A straight line is 180˚ A B Powerpoint Templates Page 10
DEFINITIONS Two angles are called adjacent if they have the same vertex, share a common side and lie on opposite sides of the common side B A C Powerpoint Templates Page 11
DEFINITIONS Two angles are complementary if the sum of their measures in 90˚ Powerpoint Templates Page 12
DEFINITIONS Two angles are supplementary if the sum of their measures in 180˚ Powerpoint Templates Page 13
DEFINITIONS The sum of all the interior angles of a triangle is 180˚ B ∠A + ∠B + ∠C = 180˚ C A Powerpoint Templates Page 14
Example 1 Find the missing measure B ? A 40˚ C Missing angle: 90 – 40 = 50˚ Powerpoint Templates Page 15
Example 2 Find the missing measures A D C B Missing angles: A = 180 - 105 A = 75˚ Powerpoint Templates Page 16
Example 2 Find the missing measures A D C B Missing angles: B = Vertically opposite of A B=A B = 75˚ Powerpoint Templates Page 17
Example 2 Find the missing measures A D C B Missing angles: C = Vertically opposite of D C=D C = 105˚ Powerpoint Templates Page 18
Example 3 Find the missing angle ∠A + ∠B + ∠C = 180˚ B 80˚ + 53˚ + ∠C = 180˚ 53˚ 133˚ + ∠C = 180˚ ∠C = 18080˚ 133 ? C A ∠C = 47˚ Powerpoint Templates Page 19
Example 4 Find the missing angle ∠A + ∠B + ∠C = 180˚ A 40˚ + 68˚ + ∠C = 180˚ 108˚ + ∠C = 180˚ ∠C = 180108 D C=72˚ ∠C = 72˚ B Powerpoint Templates Page 20
Example 4 Find the missing angle ∠D is supplementary to ∠C A ∠D + ∠C = 180˚ ∠D + 72˚= 180˚ ∠D= 180˚ - 72˚ ∠D =108˚ D C=72˚ B Powerpoint Templates Page 21
HOMEWORK Workbook p. 160 #1 p. 161 #2 p. 62 #4 CHALLENGE: p. 63 #6 Powerpoint Templates Page 22
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