Free Printable WorksheetMathGeometryMath CurriculumVA 2023 G.RLT.1

GEO.31 Use truth values and truth tables Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.31 Use truth values and truth tables. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.31 Use truth values and truth tables - Primary standard selected for prompt fields in this prompt cell: Not listed in source (VA 2023 G.RLT.1). Skill statement in this prompt cell: Select the correct truth value or completed truth table for a given logical statement. Associated standards listed with this skill in the curriculum source: VA 2023 G.RLT.1; CCSS SMP.3; TEKS §111.41(b)(2); FL MA.912.GR.1.*. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.31 Use truth values and truth tables skill assessments:

Problem 1Difficulty: Mastery
Which claim best explains how a truth table can disprove a conditional p -> q?
AFind one row or example where p is true and q is false
BFind one row where p is false and q is false
CShow that q is true in at least one row
DShow that p and q are both false in every row
Solution & Explanation:A conditional is false only in the true -> false row. One counterexample with p true and q false disproves the conditional.
Problem 2Difficulty: Mastery
Complete the truth table column for NOT[(p -> q) OR (q -> p)]. Use the row order (p, q) = TT, TF, FT, FF.
AF, F, F, F
BT, F, F, T
CF, T, T, F
DT, T, T, T
Solution & Explanation:For any row, at least one of p -> q or q -> p is true. Their OR statement is always true, so negating it gives all false values.
Problem 3Difficulty: Mastery
For a non-square rectangle, let p be 'The figure is a square,' q be 'The figure is a rectangle,' and r be 'The figure is a parallelogram.' What is the truth value of (q -> r) AND (r -> p)?
ATrue because every rectangle is a parallelogram
BFalse because r -> p is true -> false
CTrue because p is false
DCannot be determined without side lengths
Solution & Explanation:For a non-square rectangle, q is true, r is true, and p is false. The conditional q -> r is true, but r -> p is true -> false, so the AND statement is false.

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Frequently Asked Questions

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QIs this GEO.31 Use truth values and truth tables worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard VA 2023 G.RLT.1 (Primary standard selected for prompt fields in this prompt cell: Not listed in source (VA 2023 G.RLT.1). Skill statement in this prompt cell: Select the correct truth value or completed truth table for a given logical statement. Associated standards listed with this skill in the curriculum source: VA 2023 G.RLT.1; CCSS SMP.3; TEKS §111.41(b)(2); FL MA.912.GR.1.*. Use this prompt-provided wording as the supporting standard description for this workflow.).

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