Types of Triangles Quiz

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Questions and Answers

What type of triangle is identified by its angle and side when referred to as Isosceles and Obtuse Triangle?

  • Isosceles Triangle (correct)
  • Scalene Triangle
  • Obtuse Triangle (correct)
  • Acute Triangle

What type of triangle is identified by its angle and side when referred to as Scalene and Right Triangle?

  • Right Triangle (correct)
  • Equilateral Triangle
  • Scalene Triangle (correct)
  • Isosceles Triangle

What type of triangle is identified by its angle and side when referred to as Equilateral, Isosceles, and Acute Triangle?

  • Equilateral Triangle (correct)
  • Obtuse Triangle
  • Acute Triangle (correct)
  • Isosceles Triangle (correct)

What type of triangle is identified by its side when referred to as Scalene Triangle?

<p>Scalene Triangle (B)</p> Signup and view all the answers

What type of triangle is identified by its side when referred to as Isosceles Triangle?

<p>Isosceles Triangle (D)</p> Signup and view all the answers

What type of triangle is identified by its side when referred to as Equilateral and Isosceles Triangle?

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

What type of triangle is identified by its angle when referred to as Acute Triangle?

<p>Acute Triangle (A)</p> Signup and view all the answers

What type of triangle is identified by its angle when referred to as Obtuse Triangle?

<p>Obtuse Triangle (C)</p> Signup and view all the answers

What type of triangle is identified by its side when referred to as Isosceles Triangle?

<p>Isosceles Triangle (A)</p> Signup and view all the answers

What type of triangle is identified by its angle when referred to as Right Triangle?

<p>Right Triangle (D)</p> Signup and view all the answers

What type of triangle is identified by its side when referred to as Scalene Triangle?

<p>Scalene Triangle (B)</p> Signup and view all the answers

Are the following triangles congruent to each other if two sides and their included angle are equal in both triangles?

<p>True (A)</p> Signup and view all the answers

Are the following triangles congruent to each other if two angles and their non-included side are equal in both triangles?

<p>True (A)</p> Signup and view all the answers

Flashcards

Isosceles Obtuse Triangle

A triangle with two equal sides and one obtuse angle.

Scalene Right Triangle

A triangle with no equal sides and one right angle.

Equilateral Acute Triangle

A triangle with three equal sides and three acute angles.

Scalene Triangle

A triangle with no equal sides.

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Isosceles Triangle

A triangle with at least two equal sides.

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Equilateral Isosceles Triangle

A triangle with all three sides equal.

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Acute Triangle

A triangle with three acute angles.

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Obtuse Triangle

A triangle with one obtuse angle.

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Right Triangle

A triangle with one right angle.

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Congruent Triangles (SAS)

Triangles are congruent if two sides and the included angle are equal in both.

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Congruent Triangles (AAS)

Triangles are congruent if two angles and the non-included side are equal in both.

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Congruent Triangles

Triangles that have exactly the same size and shape.

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Side-Side-Side (SSS)

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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Study Notes

Triangle Classifications

  • Isosceles Triangle: Has at least two equal sides and two equal angles.
  • Obtuse Triangle: Contains one angle greater than 90 degrees.

Triangle Characteristics

  • Scalene Triangle: All sides and angles are different; no equal sides or angles.
  • Right Triangle: Contains one angle equal to 90 degrees.

Types of Triangles by Angles

  • Equilateral Triangle: All three sides and angles are equal, each angle being 60 degrees.
  • Acute Triangle: All angles are less than 90 degrees.

Congruent Triangles

  • Criteria for Congruence:
    • If two sides and their included angle are equal in both triangles, they are congruent.
    • If two angles and their non-included side are equal in both triangles, they are congruent.

Summary of Triangle Types

  • Triangle Types by Sides:

    • Isosceles: Two equal sides.
    • Scalene: No equal sides.
    • Equilateral: All equal sides.
  • Triangle Types by Angles:

    • Acute: All angles < 90°.
    • Right: One angle = 90°.
    • Obtuse: One angle > 90°.

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