
Inductive and Deductive Reasoning in Geometry

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a conjecture in the context of inductive reasoning?
A proven statement based on observations
An unproven statement based on observations
A logical fallacy
A mathematical theorem
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a counterexample?
An example that supports a conjecture
An example that disproves a conjecture
A proven theorem
A logical argument
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example given, what happens at each position in the sequence of shapes?
A box is colored
A box is rotated
A box is added
A box is removed
Tags
CCSS.8.G.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following sums is a counterexample to the conjecture 'the sum of two numbers is always greater than the greatest number'?
12 + 10
2 + 6
5 + 3
−5 + 2
Tags
CCSS.7.NS.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the law of detachment state?
If a statement is true, its converse is also true
If a statement is true, then a related statement is also true
If two segments are equal, they are congruent
If a statement is true, then its negation is false
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the law of detachment example, what is the relationship between segment AB and segment CD?
They are similar
They are perpendicular
They are congruent
They are parallel
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the law of syllogism allow you to do?
Combine two statements to form a third statement
Prove a statement by contradiction
Find the converse of a statement
Disprove a statement using a counterexample
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