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💬 Triangle Theorems: Mixed Practice & Reasoning (G-CO.C.10)

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Prove and apply theorems about triangles (angle sum, exterior angle, isosceles). Read each problem. Draw or write to solve. Label your answer.

1. A triangle has angles 39° and 63°. Third angle = ___
Work
Answer: ______________
2. Exterior angle of a triangle; remote interior angles 43° and 44°. Exterior angle = ___
Work
Answer: ______________
3. Isosceles triangle with vertex angle 80°. Each base angle = ___
Work
Answer: ______________
4. A triangle has angles 38° and 63°. Third angle = ___
Work
Answer: ______________
5. Exterior angle of a triangle; remote interior angles 53° and 25°. Exterior angle = ___
Work
Answer: ______________
6. Isosceles triangle with vertex angle 74°. Each base angle = ___
Work
Answer: ______________
Answer key: 1) 78° · 2) 87° · 3) 50° · 4) 79° · 5) 78° · 6) 53°
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Worksheets › Grade 10 Math (Geometry) › Triangle Theorems › Triangle Theorems

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-CO.C.10): triangle theorems — mixed practice with space to reason and check, with answer key. Skill: Prove and apply theorems about triangles (angle sum, exterior angle, isosceles). Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Prove and apply theorems about triangles (angle sum, exterior angle, isosceles).

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More “Triangle Theorems” printables (g-co.c.10: prove and apply theorems about triangles (angle sum, exterior angle, isosceles))

Triangle Theorems: Practice A (G-CO.C.10) · Triangle Theorems: Practice B (G-CO.C.10) · Triangle Theorems: Show Your Thinking (G-CO.C.10) · Triangle Theorems: Quick Check (G-CO.C.10)

All 5 triangle theorems sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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