Finding Length of Line Segment in Rectangle
In the image, we have a rectangle PQRS with diagonals PR and QS that intersect at point H. You are asked to find the length of the line segment HS given that QS = 14.
In a rectangle, the diagonals are equal in length and they bisect each other. This means that the diagonals are divided into two equal parts at their intersection point.
Since QS = 14, and the diagonals bisect each other, QH = HS = QS / 2.
Therefore, HS = 14 / 2 = 7.
So the length of HS is 7.
The correct answer is D) 7.