Classify Triangles Flashcards

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Questions and Answers

What is a scalene triangle?

  • A triangle with no congruent sides (correct)
  • A triangle with at least two congruent sides
  • A triangle with one right angle
  • A triangle with three congruent sides

What is an isosceles triangle?

  • A triangle with one right angle
  • A triangle with three acute angles
  • A triangle with no congruent sides
  • A triangle with at least two congruent sides (correct)

What is an equilateral triangle?

  • A triangle with three acute angles
  • A triangle with no congruent sides
  • A triangle with three congruent sides (correct)
  • A triangle with one obtuse angle

What defines an acute triangle?

<p>A triangle with three acute angles (B)</p> Signup and view all the answers

What characterizes an obtuse triangle?

<p>A triangle with one obtuse angle (B)</p> Signup and view all the answers

What is a right triangle?

<p>A triangle with one right angle (B)</p> Signup and view all the answers

What are the classifications of a right-scalene triangle?

<p>Right angle classification and scalene side classification.</p> Signup and view all the answers

What are the classifications of an acute-scalene triangle?

<p>Acute angle classification and scalene side classification.</p> Signup and view all the answers

What are the classifications of an obtuse-scalene triangle?

<p>Obtuse angle classification and scalene side classification.</p> Signup and view all the answers

What are the classifications of a right-isosceles triangle?

<p>Right angle classification and isosceles side classification.</p> Signup and view all the answers

What are the classifications of an acute-isosceles triangle?

<p>Acute angle classification and isosceles side classification.</p> Signup and view all the answers

What are the classifications of an obtuse-isosceles triangle?

<p>Obtuse angle classification and isosceles side classification.</p> Signup and view all the answers

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Study Notes

Types of Triangles Based on Sides

  • Scalene Triangle: Has no sides that are congruent.
  • Isosceles Triangle: Contains at least two congruent sides.
  • Equilateral Triangle: All three sides are congruent.

Types of Triangles Based on Angles

  • Acute Triangle: Contains three acute angles, where each angle is less than 90 degrees.
  • Obtuse Triangle: Contains one obtuse angle, which is greater than 90 degrees.
  • Right Triangle: Contains one right angle, exactly 90 degrees.

Combined Classifications

  • Right-Scalene Triangle: A triangle with one right angle and no congruent sides.
  • Acute-Scalene Triangle: A triangle with all angles acute and no congruent sides.
  • Obtuse-Scalene Triangle: A triangle with one obtuse angle and no congruent sides.
  • Right-Isosceles Triangle: A triangle with one right angle and two congruent sides.
  • Acute-Isosceles Triangle: A triangle with all angles acute and two congruent sides.
  • Obtuse-Isosceles Triangle: A triangle with one obtuse angle and two congruent sides.

Key Points

  • Triangles can be classified based on side lengths and angle measures.
  • The presence of congruent sides or specific angle types determines the classification of triangles.

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