Classifying Triangles Flashcards

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Questions and Answers

What type of triangle is an obtuse isosceles?

  • Has one obtuse angle and two equal sides (correct)
  • Has one right angle and two equal sides
  • Has no equal sides and all angles are acute
  • Has one acute angle and three equal sides

What type of triangle is a right isosceles?

  • Has one right angle and two equal sides (correct)
  • Has all sides equal
  • Has no equal sides
  • Has one obtuse angle and three unequal sides

What type of triangle is an obtuse scalene?

  • Has one right angle and two equal sides
  • Has all sides equal
  • Has one obtuse angle and no equal sides (correct)
  • Has all angles acute

What type of triangle is an acute isosceles?

<p>Has all angles acute and two equal sides (A)</p> Signup and view all the answers

What type of triangle is a right scalene?

<p>Has one right angle and no equal sides (A)</p> Signup and view all the answers

What type of triangle is equilateral?

<p>Has all sides equal and all angles equal (C)</p> Signup and view all the answers

What type of triangle is acute scalene?

<p>Has all angles acute and no equal sides (C)</p> Signup and view all the answers

What type of triangle is an acute isosceles?

<p>Has all angles acute and two equal sides (C)</p> Signup and view all the answers

What type of triangles can be classified based on angles?

<p>Acute, Obtuse, Right (D)</p> Signup and view all the answers

What type of triangles can be classified based on sides?

<p>Equilateral, Isosceles, Scalene (A)</p> Signup and view all the answers

Define obtuse.

<p>A triangle with one angle greater than 90 degrees.</p> Signup and view all the answers

Define right.

<p>A triangle with one angle equal to 90 degrees.</p> Signup and view all the answers

Define acute.

<p>A triangle with all angles less than 90 degrees.</p> Signup and view all the answers

Define isosceles.

<p>A triangle with at least two equal sides.</p> Signup and view all the answers

Define equilateral.

<p>A triangle with all sides equal.</p> Signup and view all the answers

Define scalene.

<p>A triangle with all sides of different lengths.</p> Signup and view all the answers

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Study Notes

Triangle Classification by Angles and Sides

  • Obtuse Isosceles: Has one obtuse angle and two equal sides.
  • Right Isosceles: Contains one right angle and two equal sides.
  • Obtuse Scalene: Features one obtuse angle and all sides of different lengths.
  • Acute Isosceles: Has three acute angles with two equal sides.
  • Right Scalene: Contains one right angle and all sides of different lengths.
  • Equilateral: All sides are equal, and all three angles are equal (each angle is 60 degrees).

Triangle Classification by Angles

  • Acute: All interior angles are less than 90 degrees.
  • Obtuse: Contains one interior angle greater than 90 degrees.
  • Right: Includes one right angle (90 degrees).

Triangle Classification by Sides

  • Isosceles: At least two sides are equal in length; equal angles are opposite these sides.
  • Equilateral: All three sides and angles are equal.
  • Scalene: All sides have different lengths and all angles are different.

Summary of Specific Types

  • Acute Isosceles: Equal sides and angles; all angles acute.
  • Right Isosceles: Equal sides, with one right angle.
  • Obtuse Isosceles: Equal sides with one angle greater than 90 degrees.

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