Free Printable WorksheetMathGrade 7Math Curriculum7.G.A.2

7.99 Triangle constructions from conditions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.99 Triangle constructions from conditions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.99 Triangle constructions from conditions - In multiple-choice items, students select which triangle can be constructed from given measurements and choose whether the construction is unique or impossible. (CCSS 7.G.A.2; CA 7.G.2; MA 7.G.2; NY 7.G.2)

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

Grade 7

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 7.99 Triangle constructions from conditions skill assessments:

Problem 1Difficulty: Mastery
A triangle has side lengths x cm, 12 cm, and 20 cm. Which value of x makes exactly one triangle?
A8
B31.5
C32
D40
Solution & Explanation:For sides 12 and 20, the third side must satisfy 8 < x < 32. Only 31.5 is in that interval, so the three side lengths determine one triangle.
Problem 2Difficulty: Mastery
A triangle has side lengths x cm, 12 cm, and 20 cm. Which value of x makes the construction impossible?
A7
B9
C18
D31
Solution & Explanation:The third side x must be greater than 20 - 12 = 8 and less than 20 + 12 = 32. A value of 7 is outside the possible range.
Problem 3Difficulty: Mastery
Which condition is impossible even before drawing the triangle?
ASide lengths 2.5 cm, 6.5 cm, and 9.0 cm
BSide lengths 2.5 cm, 6.5 cm, and 8.8 cm
CAngles 20 degrees, 70 degrees, and 90 degrees only
DSides 4 cm and 7 cm with included angle 100 degrees
Solution & Explanation:For 2.5, 6.5, and 9.0, the two shorter sides add to exactly 9.0, so no triangle is possible. The other conditions describe possible triangles, though the angle-only set is not unique.

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Frequently Asked Questions

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QIs this 7.99 Triangle constructions from conditions 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 Grade 7 Math students. It aligns with educational standard 7.G.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS 7.G.A.2. Skill statement in this prompt cell: In multiple-choice items, students select which triangle can be constructed from given measurements and choose whether the construction is unique or impossible. Associated standards listed with this skill in this prompt cell: CCSS 7.G.A.2; CA 7.G.2; MA 7.G.2; NY 7.G.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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