Triangles Flashcards
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Questions and Answers

How can triangles be classified?

  • By their sizes
  • By their sides (correct)
  • By their colors
  • By their angles (correct)
  • What is a right triangle?

    A triangle that has only one right angle

    What defines an acute triangle?

    A triangle that has three angles less than 90°

    What characterizes an obtuse triangle?

    <p>A triangle that has one angle greater than 90°</p> Signup and view all the answers

    What is an equiangular triangle?

    <p>A triangle that has three congruent angles</p> Signup and view all the answers

    What is an equilateral triangle?

    <p>A triangle that has three congruent sides</p> Signup and view all the answers

    What is an isosceles triangle?

    <p>A triangle that has two congruent sides</p> Signup and view all the answers

    What is a scalene triangle?

    <p>A triangle that has no congruent sides</p> Signup and view all the answers

    What does the Triangle Inequality Theorem state?

    <p>The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.</p> Signup and view all the answers

    Study Notes

    Classification of Triangles

    • Triangles can be organized based on their sides or angles.

    Types of Triangles by Angles

    • Right Triangle: Contains exactly one right angle (90°).
    • Acute Triangle: All three angles are less than 90°.
    • Obtuse Triangle: Contains one angle that is greater than 90°.

    Types of Triangles by Sides

    • Equiangular Triangle: All three angles are equal, implying all sides are congruent, creating a specific type where angles measure 60° each.
    • Equilateral Triangle: Has three sides of equal length; all angles are also congruent (60°).
    • Isosceles Triangle: Features two sides that are equal in length, resulting in two equal angles opposite those sides.
    • Scalene Triangle: No sides are equal; therefore, all three angles are different.

    Triangle Inequality Theorem

    • The principle states that the sum of the lengths of any two sides must exceed the length of the third side, ensuring that a triangle can exist with the given side lengths.

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    Description

    Explore the different classifications of triangles with these flashcards. Learn about right, acute, obtuse, and equiangular triangles, including their unique properties and definitions. Perfect for students looking to deepen their understanding of triangle geometry.

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