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Lesson 5-1

Lesson 5-1. Classifying Triangles. Ohio Content Standards:. Ohio Content Standards:. Formally define geometric figures. Ohio Content Standards:.

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Lesson 5-1

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  1. Lesson 5-1 Classifying Triangles

  2. Ohio Content Standards:

  3. Ohio Content Standards: Formally define geometric figures.

  4. Ohio Content Standards: Establish the validity of conjectures about geometric objects, their properties and relationships by counter-example, inductive and deductive reasoning, and critiquing arguments made by others.

  5. Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects.

  6. Triangle

  7. Triangle A figure formed when three noncollinear points are connected by segments.

  8. Acute Triangle

  9. Acute Triangle A triangle with all acute angles.

  10. Obtuse Triangle

  11. Obtuse Triangle A triangle with one obtuse angle.

  12. Right Triangle

  13. Right Triangle A triangle with one right angle.

  14. Scalene Triangle

  15. Scalene Triangle A triangle with no sides congruent.

  16. Isosceles Triangle

  17. Isosceles Triangle A triangle with at least two sides congruent.

  18. Equilateral Triangle

  19. Equilateral Triangle A triangle with all sides congruent.

  20. The angle formed by the congruent sides is called the vertex angle.

  21. The angle formed by the congruent sides is called the vertex angle. The side opposite the vertex angle is called the base.

  22. The angle formed by the congruent sides is called the vertex angle. base angle base angle The side opposite the vertex angle is called the base.

  23. The angle formed by the congruent sides is called the vertex angle. The two angles formed by the base and one of the congruent sides are called base angles. base angle base angle The side opposite the vertex angle is called the base.

  24. The angle formed by the congruent sides is called the vertex angle. The two angles formed by the base and one of the congruent sides are called base angles. leg leg base angle base angle The side opposite the vertex angle is called the base.

  25. The angle formed by the congruent sides is called the vertex angle. The congruent sides are called legs. The two angles formed by the base and one of the congruent sides are called base angles. leg leg base angle base angle The side opposite the vertex angle is called the base.

  26. Classify each triangle by its angles and by its sides.

  27. Classify each triangle by its angles and by its sides.

  28. Classify each triangle by its angles and by its sides. 30° 30° 120°

  29. Find the measures of XY and YZ of isosceles triangle XYZ if X is the vertex angle. X 2n + 2 10 Y Z 2n - 2

  30. Assignment:Pgs. 191-192 8-22 evens, 30-36 evens

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