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Welcome to class. The warm up is Lesson 1.2 on the back table. 5. 6. 8. 22. 28. 4. Does not make sense. No such notation. Does not make sense. A segment + a number does not equal a number. Let’s grade your homework. Measuring Angles. Please get: One piece of patty paper
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Welcome to class The warm up is Lesson 1.2 on the back table
5 6 8 22 28 4 Does not make sense. No such notation. Does not make sense. A segment + a number does not equal a number
Measuring Angles Please get: One piece of patty paper Protractor Your notes
With the straight edge, draw these angles on your patty paper (DO NOT FREE HAND): S R P Q CONGRATULATIONS!! You have just created your first set of ADJACENT ANGLES. ADJACENT ANGLES share a vertex and a ray but they can’t overlap. m>PQS = m>SQR = m>PQR = Measure each angle. Do you notice anything?
S P R Q Which one makes sense? B A Angle Addition Postulate mPQS + m SQR = m PQR A + B = 85° Or m A + m B = 85°
Angle Congruence Postulate • If two angles have the same measure, then they are congruent. • the converse is also true: If two angles are congruent, then they have the same measure. Can you write a biconditional?
Are you doing ok? • COMPLEMENTARY Angles – Exactly two angles whose sum is 90°. Each angle is a COMPLEMENT of the other. • SUPPLEMENTARY Angles = Exactly two angles whose measure is 180°. Each angle is a SUPPLEMENT of the other. 30° B 120° C A 60° Complementary angles are A and B A and B are complements of each other A and C are supplementary angles A and C are supplements of each other
Linear Pair Property If two angles form a line, they are a linear pair AND are supplementary. 125° 55°
Angles RIGHT ANGLE = 90° INDICATED BY THE BOX IN THE CORNER ACUTE ANGLE = angle less than 90° OBTUSE ANGLE = angle more than 90° but less than 180° STRAIGHT ANGLE = angle that equals 180° REFLEX ANGLE = angle greater than 180° and less than 360°.
Whiteboards Please get a whiteboard, marker, and eraser. Doodle time starts in one minute.
Your assignment 3.1 Packet