Unit 1 – Introduction to Geometry and Reasoning Review for Final Exam
Jan 04, 2016
True/False
•If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
True/False
•If a point is equidistant from the endpoints of a segment, then it must be the midpoint of the segment.
True/False
•Inductive reasoning is the process of showing that certain statements follow logically from accepted truths.
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?
Number Patterns
•If 28 lines are drawn on a plane, what is the maximum number of points of intersection possible?
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?
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?
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?
Find the pattern to finish the statement…
•The sum of the first 30 positive odd whole numbers is __________.
Find the pattern to finish the statement…
•The sum of the first 30 positive even whole numbers is __________.
Given : ,corresponding angles congruent
Prove : 4 6 (alternate interior angles congruent)
(you may not use the parallel lines conjecture in this proof)
m n
Ð @Ð
P
1 24 3
67
5
8
m
n