Unit #1, Concept #3 Angles and their Measurements

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Unit #1, Concept #3 Angles and their Measurements What are angles and how are they classified? How are the measures of angles used to determine their congruency? What is angle addition and how is it used? Free Template from www.brainybetty.com

Bell Ringer With your partner… Come up with a list of some things that you remember about angles. Free Template from www.brainybetty.com

An angle ( ) Is formed by two rays with the same endpoint. The two rays are the sides of the angles. The endpoint is called the vertex of the angle Free Template from www.brainybetty.com

Naming Angles 1 C Naming Angles B A Free Template from www.brainybetty.com

Postulate 1 – 7 Protractor Postulate OA is paired with 0 and OB is paired with 180. If OC is paired with x and OD is paired with y, then m<COD = |x – y|. D C y x A B Free Template from www.brainybetty.com

Find the measure of BOD D C A B Free Template from www.brainybetty.com

Find the measure of AOD D C A B Free Template from www.brainybetty.com

Types of Angles Acute angles - an angle whose measure is between 0º and 90º. Right angle - an angle whose measure is 90º. Obtuse angle - an angle whose measure is between 90º and 180º. Straight angle - an angle whose measure is 180º Free Template from www.brainybetty.com

Classify each angle AOY as right, acute, obtuse or straight. X Z A B Free Template from www.brainybetty.com

Classify each angle BOY as right, acute, obtuse or straight. X Z A B Free Template from www.brainybetty.com

Classify each angle BOA as right, acute, obtuse or straight. X Z A B Free Template from www.brainybetty.com

Classify each angle XOZ as right, acute, obtuse or straight. Free Template from www.brainybetty.com

Find the measure of the following AOX, XOY, YOZ, XOZ, YOB Free Template from www.brainybetty.com

Let’s Get it Started What did the segment addition postulate state? Free Template from www.brainybetty.com

Postulate 1 – 8 Angle Addition Postulate If point B lies in the interior of AOC, then m AOB + m BOC = m AOC. C B O A Free Template from www.brainybetty.com

Using the Angle Addition Postulate m AOB = 54 m AOC = 76 Find m BOC. C B O A Free Template from www.brainybetty.com

Using the Angle Addition Postulate m COB = 2x + 6 m AOB = 5x – 11 and m AOC =79 C B O find x A Free Template from www.brainybetty.com

Using the Angle Addition Postulate Find the measure of angle 1 153° 1 Free Template from www.brainybetty.com

Using the Angle Addition Postulate Find the value of x. (3x + 5)° (9x + 7)° Free Template from www.brainybetty.com

Congruent Angles Are angles with the same measure. 1 2 Free Template from www.brainybetty.com

What can you deduce from this diagram? A D B E C Free Template from www.brainybetty.com

What can you deduce from this diagram? A D B E C Free Template from www.brainybetty.com

Journal Entry What are angles and how are they classified? 2. How are the measures of angles used to determine their congruency? 3. What is angle addition and how is it used? Free Template from www.brainybetty.com

Classwork/Homework Page 30 – 32 # 17 – 23 odd, 24 – 28 all, 47, 48, 56-67, 70, 75 Free Template from www.brainybetty.com

Unit #1, Concept #3 Angles and their Measurements What are angles and how are they classified? How are the measures of angles used to determine their congruency? What is angle addition and how is it used? Free Template from www.brainybetty.com