Honors Geometry - _____ Name: __________________________
Mrs. DA Date: __________
That’s Logical…
Next week, we will start learning how to construct logical arguments. What does it mean to be logical?
Merriam-Webster defines “logical” as “capable of reasoning or using reason in an orderly fashion.”
Logical arguments require reasons, evidence or support as to why they are true. When the argument
starts at one point and then uses a series of reasons to reach another point we often call them “proofs”.
We will work on writing geometric proofs for the rest of the year.
The following logical arguments are out of order. Can you reorder the steps so that the argument makes
the most sense?
1. (A) Janet was the newly elected president of the club when this happened.
(B) During the second semester the French Club sponsored a French Day at school.
(C) Because of her leadership her ideas influenced other organizations in the school.
(D) For example, the Math Club invited an expert in computer science to talk to the school about
computers’ role in solving geometry problems.
What’s the proper order?
2. (A) The students believed that the velocity of fish in water is a function of two variables.
(B) Since the color of the water was red and some fish had not moved all day, the color of the
water could not be one of the variables.
(C) They now believe that fish are affected by light and sound.
(D) They knew that the time of day was not one of them.
What’s the proper order?
Use logical reasoning skills to arrive at answers to the following questions. You should support your
answer by writing a sentence or two that explains why you think you have the solution.
3. Every student at Brightmore High School who takes the auto shop class also takes the driver’s
education class. Roberto and Sharon are both students at Brightmore. Roberto is not taking
driver’s education. Sharon is taking auto shop. Is Roberto taking auto shop? Is Sharon taking
driver’s education? Explain.
4. Jock says they can run the 100-yard dash faster than anyone else in the world. How many people
would Jock have to beat to prove their statement? How many people would have to beat Jock to
disprove their statement?
5. If Carolyn has study sessions, then she does well on her tests. If Carolyn does well on her tests
then she gets good grades on her report card. Carolyn had several study sessions. Therefore…?
6. During a crazy weekend of paintball, four friends were having great fun. The paint came in blue,
green, yellow and red. Coincidentally, the four friends had T-shirts in those same colors. Brenda
used blue paint balls. The person in the green T-shirt used yellow paint balls. James was not
wearing a red T-shirt. Diane used green paint balls and wore a blue T-shirt. Simon was the only
person who used paint which was the same color as his T-shirt. Can you tell which color paint
they each used and the color of their respective T-shirts?
Problems adapted from Discovering Geometry by Serra and the resource book for Geometry by Jurgenson
