Grade 6 Mathematics: Triangles and Quadrilaterals

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Questions and Answers

What is the sum of the interior angles of any triangle?

  • 90 degrees
  • 360 degrees
  • 180 degrees (correct)
  • 270 degrees

Which type of triangle has all three sides of equal length?

  • Equilateral triangle (correct)
  • Obtuse triangle
  • Scalene triangle
  • Isosceles triangle

What formula is used to calculate the area of a triangle?

  • Area = base^2 + height^2
  • Area = (base + height) / 2
  • Area = base * height
  • Area = (1/2) * base * height (correct)

How is the perimeter of a quadrilateral calculated?

<p>Sum of all side lengths (B)</p> Signup and view all the answers

What determines the area of a polygon?

<p>The specific shape of the polygon (C)</p> Signup and view all the answers

Which of the following triangles has one angle that is greater than 90 degrees?

<p>Obtuse triangle (B)</p> Signup and view all the answers

Flashcards

Triangle definition

A polygon with three sides and three angles. The sum of the interior angles is 180 degrees.

Equilateral triangle

A triangle with all three sides of equal length.

Triangle area formula

Area = (1/2) * base * height

Quadrilateral perimeter

Sum of all side lengths.

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Right Triangle

A triangle with one 90 degree angle.

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Acute Triangle

A triangle with all three angles less than 90 degrees.

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Study Notes

Grade 6 Mathematics: Triangles, Quadrilaterals, and Polygons

  • Triangle Definitions: Triangles are polygons with three sides and three angles. The sum of the interior angles of any triangle is 180 degrees.

Types of Trianglesv

  • By Sides:

    • Equilateral: All three sides are equal in length.
    • Isosceles: Two sides are equal in length.
    • Scalene: All three sides have different lengths.
  • By Angles:

    • Acute: All three angles are acute (less than 90 degrees).
    • Right: One angle is a right angle (90 degrees).
    • Obtuse: One angle is obtuse (greater than 90 degrees).

Area of a Triangle

  • Area = (1/2) * base * height

Perimeter of Quadrilaterals

  • Perimeter = sum of all side lengths

Calculating Polygon Areas

  • The area of a polygon depends on its specific shape. Simple shapes such as rectangles, parallelograms, and triangles can be used to determine the area of more complex shapes.

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