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Inductive Reasoning

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For #’s 1-5, draw a diagram and write a congruency statement about the given information.
EX: B is the midpoint of .
/ 1. ∠ 1 and ∠ 2are vertical angles.
2. bisects .
3. K is the midpoint of .
4. bisects at point Q.
5. (hint: congruent angles).
For #’s 6-10, draw a diagram and write an equation based on the given information.
EX: are a Supplementary.
/ 6. ∠ 1 and ∠ 2are a linear pair.
7. ∠ A and ∠ B are complementary.
8. ∠ CDE and ∠ ADF are vertical angles.
9. bisects ∠JLK.
10. S is between R and T.
Complete the pattern for the next 2 terms
11. 1, 2, 4, 8, 16, ____, ____ / 12. 4, 6, 9, 13, 18, ____, ____
13. 2, -6, 18, -54, ____, ____ / 14. -8, -5, -2, 1, 4, ____, ____
Give a counterexample for each statement.
15. All supplementary angles are linear pairs. / 16. All vertical angles measure 90°.
17. The sum of two acute angles is greater than 90°. / 18. ∠ 1 and ∠ 2are complementary angles.
19. All polygons with four sides are squares. / 20. ∠ ADB and ∠ EDF are vertical angles.

Inductive Reasoning

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