Question

triangle fgh is equilateral. the midpoints of the sides are connected to form triangle xyz. line segment xy is parallel to line segment fh. what type of figure is quadrilateral fxyh? kite rhombus trapezoid parallelogram

Explanation:

Step1: Recall the definition of a trapezoid

A trapezoid is a quadrilateral with one pair of parallel sides.

Step2: Analyze the sides of quadrilateral \(FXYH\)

We are given that \(XY\parallel FH\). In quadrilateral \(FXYH\), the pair of sides \(XY\) and \(FH\) are parallel. There is no information (from the given problem - we only know \(XY\parallel FH\) and no information about the other pair of sides \(FX\) and \(YH\) being parallel) to suggest that it is a parallelogram (which requires two pairs of parallel sides), a rhombus (a parallelogram with all sides equal) or a kite (two pairs of adjacent sides equal).

Answer:

trapezoid