Geometry - 4.1 Classifying Triangles NOTES

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Example 1: Classifying Triangles by Angles

Use the best description to classify each triangle: acute, equiangular, obtuse, or right. Explain.

1. 2.

Geometry - 4.1 Classifying Triangles NOTES

3. 4.

Example 2: Classify Triangles by Angles Within Figures

5. Classify ∆𝑃𝑄𝑅 as acute, equiangular, obtuse, or right. Explain your reasoning.

6. Classify ∆𝑃𝑄𝑆 as acute, equiangular, obtuse, or right. Explain your reasoning.

Geometry - 4.1 Classifying Triangles NOTES

Example 3: Classify Triangles by Sides

7. Classify the sound box of the Russian lute as equilateral, isosceles, or scalene.

8. Classify the button by its sides.

Example 4: Classify Triangles by Sides Within Figures

9. If point M is the midpoint of 𝐽�̅�, classify ∆𝐽𝐾𝑀 as equilateral, isosceles, or scalene. Explain.

Geometry - 4.1 Classifying Triangles NOTES

10. Classify ∆𝐾𝑀𝐿 as equilateral, isosceles, or scalene. Explain.

Example 5: Finding Missing Values

11. Find the measures of the sides of isosceles triangle ABC.

12. Find the measures of the sides of equilateral triangle FGH.