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Questions and Answers
何 birikip, merkezi her noktadan eşit uzaklığa sahip olan geometrik şekle nedir?
Üçgende köşelerin toplamı kaç derecedir?
Piramitlerin en yüksek noktasına ne denir?
İKİ nokta arasındaki uzaklığı bulmak için kullanılan formüle ne denir?
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Dörtgenin iç açılarının toplamı kaç derecedir?
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Kürenin yüzey alanını hesaplamak için kullanılan formül nedir?
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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)
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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
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Pyramids:
- Apex: highest point
- Base: polygonal face
-
Prisms:
- Two identical polygonal faces (bases)
- Rectangular sides
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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.
