The document discusses how triangles can be classified into different types based on the length of their sides or the measure of their angles. Triangles can be equilateral, isosceles, or scalene depending on whether their sides are all the same length, at least two sides are the same length, or no sides are the same length, respectively. Additionally, triangles can be acute, right, obtuse, or equiangular depending on whether their angles are all acute, one angle is right, one angle is obtuse, or all angles have the same measure.

1. Classifying TrianglesClassifying Triangles

2. What is TriangleWhat is Triangle
A triangle is a polygon (closed figure) with
3 sides and 3 angles.

3. Two Ways to Classify TrianglesTwo Ways to Classify Triangles
The length of Their Sides
The measure Their Angles

4. 4
Classifying TrianglesClassifying Triangles
By Their SidesBy Their Sides
Equilateral
Isosceles
Scalene

5. Equilateral TrianglesEquilateral Triangles
All Sides are the same length

6. Isosceles TrianglesIsosceles Triangles
At least two sides are the same length

7. Scalene TrianglesScalene Triangles
No sides are the same length

8. Classifying Triangles By Their AnglesClassifying Triangles By Their Angles
Acute
Right
Obtuse
 Equiangular

9. Acute TrianglesAcute Triangles
Acute triangles have three acute angles

10. Right TrianglesRight Triangles
Right triangles have one right angle

11. Obtuse TrianglesObtuse Triangles
Obtuse triangles have one obtuse angle

12. Equiangular TrianglesEquiangular Triangles
All angles have the same measure
A triangular that is equiangular is also _______