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Pythagorean Theorem & Basics of Triangles quiz

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  • What is the basic definition of a triangle?
    A triangle is a geometric shape with three sides that close together to form a shape.
  • How are triangles classified based on their side lengths?
    Triangles are classified as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides different).
  • What does an equilateral triangle look like?
    An equilateral triangle has all three sides of equal length, often indicated by tick marks on each side.
  • How is an isosceles triangle defined?
    An isosceles triangle has exactly two sides of equal length.
  • What is a scalene triangle?
    A scalene triangle has all sides of different lengths.
  • How are triangles classified based on their angles?
    Triangles are classified as acute (all angles less than 90°), obtuse (one angle greater than 90°), or right (one angle exactly 90°).
  • What is an acute triangle?
    An acute triangle has all three angles less than 90 degrees.
  • What makes a triangle obtuse?
    An obtuse triangle has one angle greater than 90 degrees.
  • What is a right triangle?
    A right triangle has one angle exactly equal to 90 degrees.
  • What is the sum of the angles in any triangle?
    The sum of all angles in any triangle is always 180 degrees.
  • How can you find a missing angle in a triangle if you know the other two?
    Subtract the sum of the known angles from 180 degrees to find the missing angle.
  • What is the Pythagorean theorem?
    The Pythagorean theorem states that a² + b² = c² for right triangles, where c is the hypotenuse.
  • When can you use the Pythagorean theorem?
    You can only use the Pythagorean theorem when the triangle is a right triangle (one angle is 90 degrees).
  • How do you identify the hypotenuse in a right triangle?
    The hypotenuse is always the longest side, usually the diagonal opposite the right angle.
  • What is the final step when solving for a missing side using the Pythagorean theorem?
    After calculating the value for the missing side squared, take the square root to find the actual side length.