Question

in the cube shown below, which planes intersect? select all that apply. ij and hij hij and lmn jkn and hkl jkn and hil

Explanation:

Step1: Recall plane - intersection concept

Two planes in 3 - D space intersect if they are not parallel.

Step2: Analyze each pair

• For planes IJM and HIJ: They share the line IJ, so they intersect.
• For planes HIJ and LMN: These planes are parallel (opposite faces of the cube), so they do not intersect.
• For planes JKN and HKL: They share the point K and intersect along a line.
• For planes JKN and HIL: They are non - parallel and will intersect.

Answer:

IJM and HIJ, JKN and HKL, JKN and HIL