Conditional Statements (Inverse, Converse, Contrapositive)
Authored by Malarie Allensworth
Mathematics
9th - 11th Grade
9 Questions
CCSS covered
Used 139+ times
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About
This quiz focuses on conditional statements in geometry and logic, specifically testing students' understanding of inverse, converse, and contrapositive statements. The content is appropriate for grades 9-11, aligning with high school geometry coursework where logical reasoning and proof techniques are formally introduced. Students need to understand the structure of conditional statements (if-then format) and master the systematic transformations: the converse switches the hypothesis and conclusion, the inverse negates both parts of the original statement, and the contrapositive negates both parts while also switching their positions. The questions require students to identify these relationships when given pairs of statements and to construct these variations when given an original conditional statement. This foundational skill in logical reasoning is essential for geometric proofs and mathematical arguments throughout high school mathematics. Created by Malarie Allensworth, a Mathematics teacher in US who teaches grade 9-11. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student comprehension of logical statement transformations before advancing to formal proof writing. The variety of contexts—from mathematical concepts like natural numbers and geometric figures to real-world scenarios involving daily routines and school policies—helps students recognize that logical reasoning applies across multiple domains. Teachers can effectively use this quiz as a warm-up activity to activate prior knowledge, as guided practice during instruction, or as homework to reinforce concepts taught in class. The assessment aligns with Common Core State Standards for Mathematical Practice, particularly MP3 (Construct viable arguments and critique the reasoning of others) and supports geometry standards G-CO.9 and G-CO.10, which require students to prove geometric theorems using logical reasoning and conditional statements.
Content View
Student View
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a number is a natural number, then it is a whole number.
If a number is a whole number, then it is a natural number.
Converse
Inverse
Contrapositive
Biconditional Statement
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If I study, then I will do well on my Geometry test.
If I did not do well on my Geometry test, then I did not study.
Inverse
Converse
Contrapositive
Biconditional Statement
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If I don't set my alarm clock, then I will be late for work.
If I set my alarm clock, then I will not be late for work.
Inverse
Converse
Contrapositive
Biconditional Statement
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you purchase two bags of chips, then you will get one bag free.
If you did not get one bag for free, then you did not purchase two bags of chips.
Inverse
Converse
Contrapositive
Biconditional Statement
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you live in Denver, then you live in Colorado.
If you live in Colorado, then you live in Denver.
Inverse
Converse
Contrapositive
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two angles form a linear pair, then they are adjacent.
If two angles do not form a linear pair, then they are not adjacent.
Inverse
Converse
Contrapositive
Tags
CCSS.7.G.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If today is President's Day, then there is no school.
Write the converse.
If today is not President's Day, then there is school.
If there is school today, then it is not President's Day.
If there is no school today, then it is President's Day.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
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