Geometry Foundations

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What is the definition of a point in geometry?
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A point is a location in space with no dimensions, represented by a dot.
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Name four types of angles.
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Acute, right, obtuse, and straight angles.
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What is a polygon?
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A closed, two-dimensional shape with straight sides.
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What is the sum of the interior angles of a triangle?
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180 degrees.
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How do you calculate the area of a rectangle?
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Multiply the length by the width (Area = length × width).
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Define a perpendicular line.
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A line intersecting another line at a 90-degree angle.
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What is a diameter of a circle?
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A line segment passing through the center of the circle, connecting two points on the circumference.
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Explain what congruent figures are.
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Figures that have the same shape and size.
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What is a radius?
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A line segment from the center of a circle to any point on its circumference.
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How is the circumference of a circle calculated?
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Circumference = 2πr, where r is the radius.
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What is an isosceles triangle?
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A triangle with at least two sides of equal length.
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Define a parallel line.
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Lines in a plane that never meet and are equidistant from each other.
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What is a scalene triangle?
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A triangle with all sides of different lengths.
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How many sides does a hexagon have?
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A hexagon has six sides.
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What is the Pythagorean theorem?
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In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).
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