Inductive Reasoning
What is inductive reasoning based on?
Patterns
What is deductive reasoning based on?
Facts
Fill in the blank: Vertical angles are __________
Congruent
What always comes last in a proof?
The thing you are trying to prove.
What is the 8th planet from the sun?
Neptune
Describe the pattern:
Z, Y, X, W, V, ...
Alphabetical order backwards
Is the following an example of inductive or deductive reasoning:
Rational numbers can be written as fractions. So, 1/2 is a rational number.
Deductive
Fill in the blank: Linear pairs are _________
Supplementary
What is always the first reason of a proof?
Given
A mother and father have 3 daughters. Each daughter has 1 brother. How many children are there in total?
4
What is the next two numbers in the following pattern:
0, 2, 6, 12, 20, ...
30, 42
Is the following an example of inductive or deductive reasoning:
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. The sum of the digits of the number 147 is 12. So, the number 147 is divisible by 3.
Deductive
Two vertical angles have measurements of
17x and 5(3x + 2)
Find the value of x
x = 5
Write the reasoning for the following step:
m∠2 = m∠3
m∠2 ≅ m∠3
Definition of Congruent Angles
When the 12 months of the year are written out in alphabetical order, which month comes third?
December
Describe the pattern:
4, -4, 8, -24, 96, ...
-480, 2880
Find a counterexample: The sum of two numbers is always greater than their difference.
any negative numbers
Two vertical angles have measurements of
4x and (6x-26)
Find the value of x
x = -13
Name the property that the statement illustrates:
If JL ≅ YZ, then YZ ≅ JL
Symmetric Property of Segment Congruence
Bob is your uncle, Jack's your son, Tom's Bob's brother. Sam's Bob's father. Who is your dad?
Tom
What is the next two numbers in the following pattern:
1/2, 4/9, 7/16, 10/23, ...
13/30, 16/37
Find a counterexample: The value of x2 is always greater than the value of x
1 or 0
Two angles that are a linear pair have measurements of
(40 + y) and (y + 20)
Find the value of y
y = 60
Name the property that the statement illustrates:
If ∠T ≅ ∠V and ∠V ≅ ∠R, then ∠T ≅ ∠R
Transitive Property of Angle Congruence
On a street with exactly 26 houses, Em lives at number 13, and Bea lives at number 2. At what number does Elle Live?
12.
Each person's house corresponds to the number of the position of their name in the alphabet.