Geometry Basics
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Questions and Answers

何 birikip, merkezi her noktadan eşit uzaklığa sahip olan geometrik şekle nedir?

  • Dikdörtgen
  • Üçgen
  • Küre
  • Çember (correct)

    • Üçgende köşelerin toplamı kaç derecedir?

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

    • Piramitlerin en yüksek noktasına ne denir?

  • Taban
  • Tepelik
  • Apex (correct)
  • Üçgen

    • İKİ nokta arasındaki uzaklığı bulmak için kullanılan formüle ne denir?

    <p>Uzaklıık Formülü</p> Signup and view all the answers

    Dörtgenin iç açılarının toplamı kaç derecedir?

    <p>360°</p> Signup and view all the answers

    Kürenin yüzey alanını hesaplamak için kullanılan formül nedir?

    <p>4 × π × yarıçap²</p> Signup and view all the answers

    Study Notes

    Geometry

    Definition

    Geometry is a branch of mathematics that deals with the study of shapes, sizes, and positions of objects.

    Key Concepts

    • Points: A location in space, represented by a set of coordinates (x, y, z).
    • Lines: A set of points extending infinitely in two directions.
    • Rays: A line that extends infinitely in one direction from a point.
    • Angles: Formed by two rays sharing a common endpoint (vertex).

    Properties of 2D Shapes

    • Triangles:
      • Angles sum to 180°
      • Sum of any two sides is greater than the third side
    • Quadrilaterals:
      • Sum of interior angles is 360°
      • Diagonals bisect each other (in rectangles and squares)
    • Circles:
      • Center: fixed point equidistant from all points on the circle
      • Radius: distance from center to any point on the circle
      • Circumference: distance around the circle

    Properties of 3D Shapes

    • Pyramids:
      • Apex: highest point
      • Base: polygonal face
    • Prisms:
      • Two identical polygonal faces (bases)
      • Rectangular sides
    • Spheres:
      • Center: fixed point equidistant from all points on the sphere
      • Radius: distance from center to any point on the sphere
      • Surface area: 4 × π × radius²

    Theorems and Formulas

    • Pythagorean Theorem: a² + b² = c² (right-angled triangles)
    • Distance Formula: √((x2 - x1)² + (y2 - y1)²) (distance between two points)
    • Midpoint Formula: ((x1 + x2)/2, (y1 + y2)/2) (midpoint of a line segment)

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    Description

    Test your understanding of geometry concepts, including points, lines, angles, and properties of 2D and 3D shapes, as well as theorems and formulas.

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