Free Printable WorksheetMathGeometryMath CurriculumG-CO.C.10

GEO.80 Use isosceles triangle theorems in proofs and problems Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.80 Use isosceles triangle theorems in proofs and problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.80 Use isosceles triangle theorems in proofs and problems - Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Select the correct isosceles-triangle theorem and determine the unknown angle or side measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). 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.80 Use isosceles triangle theorems in proofs and problems skill assessments:

Problem 1Difficulty: Mastery
In isosceles triangle ABC, AB = AC. Altitude AD is drawn from A to base BC. If m angle BAD = 28 degrees and BD = 15 units, what are m angle C and BC?
Am angle C = 56 degrees and BC = 15 units
Bm angle C = 62 degrees and BC = 30 units
Cm angle C = 64 degrees and BC = 30 units
Dm angle C = 76 degrees and BC = 15 units
Solution & Explanation:In an isosceles triangle, the vertex altitude also bisects the vertex angle and base. Thus angle A is 2(28) = 56 degrees, so each base angle is (180 - 56) / 2 = 62 degrees. Also DC = BD = 15, so BC = 30 units.
Problem 2Difficulty: Mastery
In triangle ABC, AB = AC. If m angle B = 5x + 4 and m angle C = 3x + 24, which result is correct?
Ax = 10 and m angle A = 72 degrees
Bx = 10 and m angle A = 108 degrees
Cx = 14 and m angle A = 54 degrees
Dx = 14 and m angle A = 72 degrees
Solution & Explanation:Since AB = AC, base angles B and C are congruent. Set 5x + 4 = 3x + 24 to get x = 10. Each base angle is 54 degrees, so angle A is 180 - 54 - 54 = 72 degrees.
Problem 3Difficulty: Mastery
Triangle DEF has DE = EF and m angle E = 44 degrees. What are m angle D and m angle F?
A44 degrees and 44 degrees
B46 degrees and 90 degrees
C68 degrees and 68 degrees
D76 degrees and 60 degrees
Solution & Explanation:The congruent sides DE and EF are opposite angles F and D, so angles D and F are congruent. They total 180 - 44 = 136 degrees, so each is 68 degrees.

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Frequently Asked Questions

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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-CO.C.10 (Primary standard selected for prompt fields in this prompt cell: CCSS G-CO.C.10. Skill statement in this prompt cell: Select the correct isosceles-triangle theorem and determine the unknown angle or side measure. Associated standards listed with this skill in the curriculum source: CCSS G-CO.C.10; FL MA.912.GR.1.3; MA G-CO.C.10; NY GEO G.G-CO.C.10; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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