Question

all the edges of the object in the diagram are equal in length. the object is cut by a vertical plane containing a and b and bisecting two of the horizontal edges. what is the shape of the cross - section resulting from the cut?
a. an equilateral triangle
b. a rhombus
c. a square
d. a regular hexagon

Explanation:

Step1: Analyze the properties of the cross - section

Since all edges of the object are equal in length and the vertical plane containing \(A\) and \(B\) bisects two of the horizontal edges.
Let the length of each edge of the original object be \(l\). The four sides of the cross - section formed by the intersection of the plane and the object have equal length.

Step2: Determine the angles of the cross - section

The adjacent sides of the cross - section are perpendicular to each other. A quadrilateral with four equal sides and four right angles is a square.

Answer:

C. a square