Topics
2. Language of Logic
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Geometry

2.03 Inductive reasoning

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

What is inductive reasoning?

Finding a special case that satisfies the conditions of the conjecture but produces a different result.

A

The type of reasoning generally used to arrive at a conjecture.

B

The process of reasoning to a specific conclusion from a general statement.

C

The type of reasoning used to prove a conjecture.

D
Easy
< 1 min

Is the following conjecture true or false?

"Two triangles are similar if their corresponding angles are congruent."

Easy
< 1 min

Use inductive reasoning to predict the next three numbers in the sequence.

Easy
< 1 min

Use inductive reasoning to predict the next three numbers in the sequence.

Easy
< 1 min
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Outcomes

G.RLT.1

The student will translate logic statements, identify conditional statements, and use and interpret Venn diagrams.

G.RLT.1a

Translate propositional statements and compound statements into symbolic form, including negations (~p, read “not p”), conjunctions (p ∧ q, read “p and q”), disjunctions (p ∨ q, read “p or q”), conditionals (p → q, read “if p then q”), and biconditionals (p ↔ q, read “p if and only if q”), including statements representing geometric relationships.

G.RLT.1b

Identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement, and recognize the connection between a biconditional statement and a true conditional statement with a true converse, including statements representing geometric relationships.

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