Geometry Honors Chapter 2 Review PDF

Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley SEC. 2.2 1. Determine if the conjectures are TRUE or FALSE based on the given information. If false, provid...

Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley SEC. 2.2 1. Determine if the conjectures are TRUE or FALSE based on the given information. If false, provide a counterexample. Given: XY and ZW intersect at A Conjecture: ZAX and WAY are vertical ’s Given: m 1 = 20 and m 2 = 70 Conjecture: 1 and 2 are comp. ’s. Given: M is the midpoint of AB Conjecture: AM MB SEC. 2.3&2.4 2. The following statement is the CONTRAPOSITIVE of a given conditional. Write the converse AND determine the truth-value of the converse. If 2 ’s are not adj. then they are not a linear pair. 1  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley SEC. 2.5 3. Lewis Carroll, author of Alice in Wonderland, was also a famous logician. Some of his most famous logic puzzles involved non-sense statements that have a logical conclusion based on the Law of Syllogism. Below is one such puzzle. Find the logical conclusion based on the following statements. (Hint: keep in mind the contrapositive has the same truth-value as the conditional) A. Those that cannot wiggle their ears were born in the age of reason. B. People whose zodiac sign is Gemini have the ability to storm a castle. C. Those that do not play hockey are not long tailed moose. D. Anyone that can wiggle their ears has Gemini as a Zodiac sign. E. Those that play hockey were not born in the age of reason. 4. Use the Law of Syllogism to reach a logical conclusion based on the following statements: A. If you do not live in a fantasy world, then you do not raise marsupials as pets. B. Those that wrestle alligators do not play Texas hold-em blindfolded. C. Anyone who loves peach marmalade raises marsupials as pets. D. Anyone living in a fantasy world will play Texas hold-em blindfolded. E. Those that do not love peach marmalade don’t live to chase storms. 2  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley SEC. 2.6 5. Given: 2 x 3 8 Prove: x = 7 1 6. Given: 3x 4 x 6 2 Prove: x = 4 3  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley 7. Given: 4 2 x 1 10 x 5 Prove: x = 3 8. Given: 3 x 8 5 9 x 2 1 Prove: x = –8 4  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley SEC. 2.7 9. Given: AB CD A B C D Prove: AC BD 10. Given: 1 is supp. to 2 3 is supp. to 2 1 2 Prove: 1 3 3 5  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley 12. Given: EC bisects AED ED bisects CEB C D Prove: 1 2 3 1 2 A E B 13. Given: AB CD M is the midpt. of AB A M B N is the midpt. of CD Prove: AM ND C N D 6  Geometry Honors Chapter 2 Review Mr. Moore Mr. Nunley 14. Given: AB CD ; BD DE C Prove: AD CE D A B E 7