Free Printable WorksheetMathGeometryMath CurriculumG-SRT.B.4-5

GEO.93 Converse and inequalities related to the Pythagorean theorem Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.93 Converse and inequalities related to the Pythagorean theorem. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.92 Pythagorean theorem - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the correct equation for the Pythagorean theorem and determine the missing side length in a right-triangle situation. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6; CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4. 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.93 Converse and inequalities related to the Pythagorean theorem skill assessments:

Problem 1Difficulty: Mastery
A design review shows a right triangle with vertical support 45 inches, diagonal brace 53 inches, and horizontal base x. Which option gives the correct equation and x?
A452 + 532 = x2; x = 70 inches
Bx2 + 532 = 452; x = 28 inches
Cx + 45 = 53; x = 8 inches
Dx2 + 452 = 532; x = 28 inches
Solution & Explanation:The diagonal brace is the hypotenuse. Use x2 + 452 = 532, so x2 = 2809 - 2025 = 784 and x = 28 inches.
Problem 2Difficulty: Mastery
A storage box has edge lengths 2 feet, 3 feet, and 6 feet. What is the space diagonal of the box?
A11 feet
Bsqrt45 feet
C7 feet
D6.5 feet
Solution & Explanation:First, the base diagonal is sqrt(22 + 32) = sqrt13. Then the space diagonal is sqrt((sqrt13)2 + 62) = sqrt49 = 7 feet.
Problem 3Difficulty: Mastery
A bridge support cable has length sqrt481 feet and the vertical support is 15 feet. What is the horizontal distance from the support to the cable anchor?
Asqrt706 feet
B16 feet
C31 feet
D8 feet
Solution & Explanation:The cable is the hypotenuse, so x2 + 152 = (sqrt481)2 = 481. Then x2 = 256 and x = 16 feet.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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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 G-SRT.B.4-5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.B.4-5. Skill statement in this prompt cell: Select the correct equation for the Pythagorean theorem and determine the missing side length in a right-triangle situation. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.B.4-5; NY GEO G.G-SRT.B; MA G-SRT.B; FL MA.912.GR.1.2, 1.6; CCSS G-GPE.B.4; FL MA.912.GR.3.2-3.3; MA G-GPE.B.4; NY GEO G.G-GPE.B.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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