Explain why the given conclusions uses inductive reasoning.

1. It's always snowing on my birthday.

6. Justin wear a white shirt four days in a row. so Justin only has white shirts.

Decide if inductive reasoning or deductive reasoning is use to make the conjecture. Explain your reasoning.

11. All right angles measures 90 degrees.

14. A scale triangle has three sides with different lengths. If triangle XYZ is a scalene triangle,it has three sides with different lengths.

Use deductive reasoning to write conclusion

17. If two distant lines intersect, they intersect at one point. Lines m and line n intersect.

20.If the measures of an angle is grater than 90 degrees, then it is an obtuse angle. The measure of an angle is 120 degrees.

Write the statement as an if -then statement

25. 3a + 4 = 10; a =2

28. r = -2: 6 - 2r = 10

Select the word that makes the statement true

31. If a triangle has an obtuse angle it (must, may ,cannot) be an acute triangle.

32. of one endpoint of a segment is on a line so that two angles are formed, then the two angles forms (must, may, cannot) be supplementary.

33. If the sun is shining this morning, the it (must, may, cannot) rain this afternoon.

Write two-column proof of the statement. Include given and prove statements.

43. If 9k - 5 = 7k + 3 then k = 4.