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Name: _______________________________________________________ Date: ________________ Per: ______ LC Math 2 Adv – Protractor Postulate / Angle Addition Postulate (LT 3) Use pages 17-19 in your textbook to answer the following questions. 1. According to the definition of angle, what type of geometric figure forms the side of an angle? 2. What is the term for the location where the sides of an angle intersect? ---------------------------------------------- Define “Angle” on your vocab list ------------------------------------------- 3. Why is it that some angles can be named with just one letter and others must be named with three letters? Draw an example of an angle that can be named with one letter and one that must be named with three. 4. Name the vertex of Angle HJI. 5. Translate the following statement into mathematical notation: The measure of angle PQR is twenty-nine degrees. --------------------------------- Define the four angle classifications on your vocab list ---------------------------- 6. Explain how an angle measure can be thought of as a distance around a circular arc. Draw a diagram to support your explanation. --------------------------------- Record the Protractor Postulate on your Post/Thm List ---------------------------- 7. Which previous postulate is analogous to the angle addition postulate? How are the postulates similar? 8. What condition must be satisfied in order for the conclusion in the angle addition postulate to be true? 9. The second part of the Angle Addition Postulate is alternately called the linear pair postulate. Reproduce the diagram shown at the bottom of p.18. Which two angles form a linear pair? --------------------------------- Record the Angle Addition Postulate on your Post/Thm List ---------------------- 10. What is the defining criterion for angles to be congruent? 11. Page 19 shows three examples of non-adjacent angle pairs. Reproduce each example below and explain which part of the definition of adjacent angles it violates. Example 1: Example 2: Example 3: 12. In general, what does the word bisect mean in geometry? 13. Draw a pair of non-adjacent congruent angles and use correct markings to indicate their congruence. --------------------------------- Define adjacent angles and angle bisector on your vocab list --------------------
