Transcript Chapter 2 Review

“Family Feud”
Mr. Shelly-style

By now, you should be in teams of 4.
Each team should have one sheet of paper on which
to record their answers
 Write all team member names on the paper

For each category (concept) there will be five
separate questions
 As a team, these are your responsibilities

In the time provided, solve all the problems in each
category you can
 Write your answers on your paper
 Check your answers when covered after the category.
 Receive a point for each problem correctly solved.

 Solve:
2+6
 22 – 7
 54 – 23
 4 + 39
 81 - 63

 So
in the real
game, if you
answered the first
4 correct but
didn’t get to the
last one, you
would get 4
points…
Inductive Reasoning and Conjecture
 Make
a conjecture and find the next term (if
needed)
 -5,
10, -20, 40, …
 1, 1.2, 1.4, 1.6, …
 1 and 2 form a right angle
 ABC and DBE are vertical angles
 Point P is the midpoint of
Conjecture: T or F (+counterexample)
 Determine
if the conjectures below are true or
false. If false, give a counterexample.

If points A, B, and C are collinear, then AB + BC = AC

If A  D, then mA = mD

If 1 is complementary to 2 and 1 is complementary to
3, then 2  3

If ABC and CBD form a linear pair, then ABC  CBD

X and Y form a linear pair, then X and Y are
supplementary
IF you’re ready, THEN we’ll go on…
 Take
the statement below and follow the
directions listed as problems.
“If you live in San Diego, then you live in
California”
 Write
the converse
 Write the inverse
 Write the contrapositive
 Determine if the conditional is true/false
 Determine if the converse is true/false
Inductive/Deductive (and the laws)

Conclusion or no conclusion? What Law?
If a dog eats Super Dog food, then it will be happy.
Rover is happy.
 If you study for the test, you will receive a good
grade. You study for the test.
 If mA is less than 90°, then A is acute. If A is
acute, then A  B


Inductive or Deductive?


You must be 5’2” to ride the roller coaster, and
Timmy is 5’0” tall. Timmy concludes he cannot ride.
Mr. Shelly watched “The Big Bang Theory” on Monday,
Tuesday, Wednesday, and Thursday. His friend
concludes he will watch it again on Friday.
Algebraic Proof: Properties
 Name
the property that justifies each
statement below.
 If
m1 = m2, then m2 = m1
 If 7x = 28, then x = 4
 If VR + TY = EN + TY, then VR = EN
 RS = RS
 If AB = CD, then 2AB = 2CD
Geometric Proof: Properties/Definitions
 Name
the property or definition that justifies
each statement below. Or explain how you
know (justify your own answer!)
 If
X  Y, then Y  X

S and T are complementary, then mS
+ mT = 90°
 If 1  2 and 2  3, then 1  3
 If
bisects XYZ, then XYW  WYZ
 If
Grab Bag
 Write
the conditional and converse of the
biconditional statement below
“Water boils if and only if its temperature
is 100°C”
 Fill in the proof below.