Question

the diagram below is a right rectangular prism. all the angles shown measure ( 90^circ ). complete the following sentence.
diagram of a right rectangular prism with vertices labeled i, h, g, d, c, b, f, e
answer
attempt 1 out of 2
plane ( idh ) and plane ( bif )

Explanation:

To determine the relationship between plane \( IDH \) and plane \( BIF \) in a right rectangular prism:

Step 1: Analyze the Prism’s Structure

A right rectangular prism has all angles as \( 90^\circ \), so adjacent faces (planes) meet at right angles, and non - adjacent (opposite) faces are parallel.

Step 2: Identify Plane Orientations

• Plane \( IDH \): Contains edges \( ID \), \( DH \), \( HI \).
• Plane \( BIF \): Contains edges \( BI \), \( IF \), \( FB \).

In the prism, these planes do not share a common edge (so not intersecting at a line) and their corresponding sides are parallel (e.g., \( ID \parallel BI \) is not correct, rather the direction of the planes: \( IDH \) is a vertical - like plane on one side, \( BIF \) is a vertical - like plane on another side, and they are parallel as they never meet and their normals are parallel).

Answer:

are parallel