
Proof by Contradiction Concepts

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the method called when you assume the opposite of what you want to prove and show it leads to a contradiction?
Proof by Exhaustion
Proof by Contradiction
Proof by Construction
Proof by Induction
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an irrational number?
A number with a repeating decimal
A number that cannot be expressed as a simple fraction
A number that terminates after a few decimal places
A number that can be expressed as a fraction
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what is the significance of proving log base 2 of 5 is irrational?
It shows that all logarithms are irrational
It demonstrates the use of proof by contradiction
It proves that 5 is an irrational number
It confirms that base 2 logarithms are always irrational
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving something by contradiction?
Assume the negation of the statement
Use a direct proof
Assume the statement is true
Find a counterexample
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Latin term for proof by contradiction?
Veni, vidi, vici
Carpe diem
Caveat emptor
Reductio ad absurdum
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result when you raise both sides of the equation to the power of b in the proof?
5^b = 2^a
5^a = 2^b
5^b = 2^b
5^a = 2^a
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are the powers of 2 always even?
Because they start with an odd number
Because they are multiplied by 5
Because they are multiplied by an even number
Because they are always prime
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