Topics
2. Language of Logic
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Geometry

2.02 Converse, inverse, and contrapositive

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the conditional

If an animal is a bird, then it has feathers .

Which of the following represents the inverse of the statement?

If an animal has feathers, then it is a bird.

A

If an animal is not a bird, then it does not have feathers.

B

If an animal is a bird, then it has feathers.

C

If an animal does not have feathers, then it is not a bird.

D
Easy
< 1min

Consider the conditional

If an animal is a bird, then it has feathers .

Easy
< 1min

Consider the conditional

If two angles form a right angle, then they are complementary .

Easy
< 1min

Consider the conditional

If a figure is a square, then it is a quadrilateral .

Easy
< 1min
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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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