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

Not what you're looking for? Search our solutions OR ask your own Custom question.

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.

https://brainmass.com/math/triangles/geometry-construction-conjecture-quadrilateral-acbd-107763

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

(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 ...

#### Solution Summary

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

$2.49