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Name: __________________________________________ Geometry CC Unit 3 Day 1 Finding Missing Angles Date: ______________ HOMEWORK 3-1 1. Consider the following set of rules for a card game with a standard set of cards. Rule 1: Every even-numbered card is worth 3 points. Rule 2: Every odd-numbered card is worth 2 points. Rule 3: Jacks, Kings, and Queens are each worth 4 points. Rule 4: All the cards are dealt. Rule 5: The player with the highest point value wins. a) Explain why the rules for this game of cards are not sufficient. b) Add a rule/rules to make the set of rules sufficient. 2. a) Draw two points, A and B, and the line they determine. b) Name the line you drew in part a in three ways. 3. True or False: In Euclidean geometry: _____________a) A line contains infinitely many points. _____________b) A plane contains infinitely many points. _____________c) For line l in plane M, all points in M are also on l. _____________d) If two coplanar lines intersect, then they have a point in common. _____________e) A line has thickness. _____________f) There are lines with only 2 points. 4. Why is each of these not a good definition of midpoint? a) The midpoint of AB is the point between A and B. b) The midpoint is the ideal location to minimize commuting to A and B. c) The midpoint of AB is a point on AB that makes AM = MB, AB = 2AM, and AB = 2MB. 5. a) ____________________ b) __________________ d) ______________________ e) ____________________ c) ________________________ f) ________________________ 6. Identify angles x and y as corresponding, alternate interior, alternate exterior, or same-side interior. 7. 8. 9. 10. Use the property to complete the statement. 11. Find the missing angle by drawing an auxiliary line. Think about it! Do your HW!