1. Unit 1 – Introduction to Geometry and Reasoning Review for Final Exam

2. True/False The three basic building blocks of geometry are point, line, plane.

3. True/False The ray through point P from point Q is written in symbolic form as.

4. True/False The vertex of angle PDQ is point P.

5. True/False The symbol for perpendicular to is.

6. True/False An acute angle is an angle whose measure is more than 90°.

7. True/False If intersects at point P, then and are a pair of vertical angles.

8. True/False If the sum of the measure of two angles is 180°, then the two angles are complementary.

9. True/False If two lines are parallel to the same line, then they are parallel to each other.

10. True/False If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

11. True/False If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment.

12. True/False If the sum of the measure of two angles is 180°, the two angles are vertical angles.

13. True/False Inductive reasoning is the process of showing that certain statements follow logically from accepted truths.

14. True/False In a geometric construction, you use a protractor and a ruler.

15. Find the next number in the sequence, and describe the pattern. 100, 97, 91, 82, 70, ____

16. Find the next number in the sequence, and describe the pattern. 3, 5, 8, 12, 17, ______

17. Number Patterns If at a party there are a total of 741 handshakes and each person shakes hands with everyone else at the party exactly once, how many people are at the party?

18. Number Patterns If 28 lines are drawn on a plane, what is the maximum number of points of intersection possible?

19. Number Patterns If a whole bunch of lines (no two parallel, no three concurrent) intersect in a plane 2926 times, how many lines are a whole bunch?

20. Number Patterns If in a 54-sided polygon, all possible diagonals are drawn from one vertex, they divide the interior of the polygon into how many regions?

21. Number Patterns How many sides does the polygon have if all possible diagonals drawn from one vertex divide the interior of the polygon into 54 regions?

22. Find the nth term n123456…n f(n)-7-2381318…

23. Find the nth term n123456…n f(n)27142334…

24. Find the pattern to finish the statement… The sum of the first 30 positive odd whole numbers is __________.

25. Find the pattern to finish the statement… The sum of the first 30 positive even whole numbers is __________.

26. 1 2 4 3 6 7 5 8 m n

27. 1 2 4 3 6 7 5 8 m n