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Geometry : Construction and Conjecture - What kind of quadrilateral is ACBD?

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J and k are parallel lines. Line d intersect j and k respectively at A and B. Points C and D are equidistant from j, k, and d.
What kind of quadrilateral is ACBD? Prove your conjecture.

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A quadrilateral are investigated. The kind of quadrilateral is ACBD is determined. Equidistant from angles are examined.

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(1) First we need to draw several lines.
From C, draw the line perpendicular to j, which intersects with j and k at C1 and C3 respectively. Then draw the line perpendicular to AB from C, and intersects AB with C2.

From D, draw the line perpendicular to j, which intersects with j and k at D3 and D1 respectively. Then draw the line ...

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