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Review for Test Unit 1A

This review covers essential mathematical concepts such as deductive and inductive reasoning, proofs involving parallel lines and transversals, and properties of polygons and angles. Key hypotheses, conclusions, and logical structures like contrapositive and converse are discussed using examples like relationships between figures and their definitions. The review also addresses symmetries and congruence between triangles, providing problem-solving strategies and real-world applications of these principles.

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Review for Test Unit 1A

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  1. Review for Test Unit 1A

  2. If you play for the Falcons, then you are a winner. • Hypothesis? • Conclusion? • Inverse? • Converse? • Contrapositive?

  3. True or False, give counterexample • If I a figure has five sides, then it is a Pentagon. • If it swims in the ocean, then it is a shark. • If a number is divisible by two and four, then it is divisible by 8.

  4. Deductive or Inductive Reasoning • Sarah is Matthew’s sister and David is Matthew’s brother. Sarah and David are brother and sister. 10. 7, 11, 15, 19, the next term is 23.

  5. Parallel Lines and Transversals • Name a pair of alt. int. <‘s • Name a pair of corresponding <‘s • If m<4 = (6x)° and m<5 = (2x + 36)°. What value of x will make r ll s? 2 1 r 3 4 5 6 s 7 8

  6. Draw the following 14. A ray with endpt P, passing through point K 15. An isosceles right triangle. 16. Polygon VWXYZ. 17.

  7. Are the triangles congruent? Why? B A 18. 19. D C R A T C B S

  8. Find the value of x and the m<B 20. 5x° 50° (2x + 89)°

  9. P m< LMN = (31x)° L (12x + 25)° (14x)° 21. Fill in the missing reasons. N M

  10. H C Given: A is the midpt of CP and HTProve: A 22. Fill in the missing reasons. T P

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