Measuring Angles UNIT 1 LESSON 4 1. Measuring Angles STUDENTS WILL BE ABLE TO: FIND AND COMPARE MEASURES OF ANGLES KEY VOCABULARY ANGLERIGHT ANGLE SIDES.

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Presentation transcript:

Measuring Angles UNIT 1 LESSON 4 1

Measuring Angles STUDENTS WILL BE ABLE TO: FIND AND COMPARE MEASURES OF ANGLES KEY VOCABULARY ANGLERIGHT ANGLE SIDES OF AN ANGLEOBTUSE ANGLE VERTEX OF AN ANGLESTRAIGHT ANGLE MEASURE OF AN ANGLECONGRUENT ANGLES ACUTE ANGLE 2

Measuring Angles WHEN YOU NAME ANGLES USING THREE POINTS, THE VERTEX MUST GO IN THE MIDDLE. 3

Measuring Angles THE INTERIOR OF AN ANGLE IS THE REGION CONTAINING ALL OF THE POINTS BETWEEN THE TWO SIDES OF THE ANGLE. THE EXTERIOR OF AN ANGLE IS THE REGION CONTAINING ALL OF THE POINTS OUTSIDE OF THE ANGLE. EXTERIOR INTERIOR 4

Measuring Angles PROBLEM 1: WHAT ARE THE TWO OTHER NAMES FOR <1? WHAT ARE THE TWO OTHER NAMES FOR <KML? WOULD IT BE CORRECT TO NAME ANY OF THE ANGLES <M? EXPLAIN!! 5

Measuring Angles ONE WAY TO MEASURE THE SIZE OF AN ANGLE IS IN DEGREES. TO INDICATE THE MEASURE OF AN ANGLE, WRITE A LOWERCASE M IN FRONT OF THE ANGLE SYMBOL. IN THE DIAGRAM, THE MEASURE OF <A IS 62. YOU WRITE THIS AS M<A = 62. 6

Measuring Angles THE PROTRACTOR POSTULATE ALLOWS YOU TO FIND THE MEASURE OF AN ANGLE. 7

Measuring Angles THE MEASURE OF <COD IS THE ABSOLUTE VALUE OF THE DIFFERENCE OF THE REAL NUMBERS PAIRED WITH RAY OC AND RAY OD. 8

Section 1.4 – Measuring Angles CLASSIFYING ANGLES: YOU TELL ME: ACUTE RIGHT OBTUSESTRAIGHT 9

Section 1.4 – Measuring Angles PROBLEM 2: WHAT ARE THE MEASURES OF <LKN, JKL, AND JKN? CLASSIFY EACH ANGLE AS ACUTE, RIGHT, OBTUSE, OR STRAIGHT. 10

Measuring Angles ANGLES WITH THE SAME MEASURE ARE CONGRUENT ANGLES. THIS MEANS THAT IF M<A = M<B, THEN <A <B. YOU CAN MARK ANGLES WITH ARCS TO SHOW THAT THEY ARE CONGRUENT. IF THERE IS MORE THAN ONE SET OF CONGRUENT ANGLES, EACH SET IS MARKED WITH THE SAME NUMBER OF ARCS. 11

Measuring Angles PROBLEM 3: SYNCHRONIZED SWIMMERS FORM ANGLES WITH THEIR BODIES, AS SHOW IN THE PHOTO. IF M<GHJ = 90, WHAT IS M<KLM? 12

Measuring Angles 13

Measuring Angles PROBLEM 4: IF M<RQT = 155, WHAT ARE M<RQS AND M<TQS? 14

Measuring Angles PROBLEM 5: <DEF IS A STRAIGHT ANGLE. WHAT ARE M<DEC AND M<CEF? 15