Question

The figure shown is a rectangular prism. Which edges are perpendicular to JA¯¯¯¯¯ ? Select each correct answer. RA¯¯¯¯¯ TR¯¯¯¯¯ EJ¯¯¯¯¯ JT¯¯¯¯¯ PH¯¯¯¯¯¯

Answer 1

Answer:  RA,  EJ,  JT

Explanation:

When dealing with 3 dimensional figures, you must handle three concepts to analyze the spatial relationship of the lines. Those are:

• Perpendicular lines: it refers to lines that intersect each other at a 90° angle (right angle). This only can happen if the lines.

• Skew lines: it refers to lines that are not parallel but are in different planes and cannot not intersect each other.

• Parallel lines: are lines that are in the same plane but cannot intersect each other.

The given figure is a perfect model to understand what each one of those concepts mean.

Starting by the segment JA, you find that:

• The segments EH, QP, and TR are parallel to segment JA, because you can find a plane formed by JA and any of those segments, and yet JA will never intersect any of them.

• Segment JA is skewed respect segments QT, PR, QE, and PH, because they are in different planes.

• Segment JA is perpendicular to EJ, HA, JT and RA, because JAintersects any of them on a right angle.

Hence, the right choices are segments RA, EJ and JT

Answer 2

Answer: RA,  EJ and JT

Step-by-step explanation:

In the given figure of rectangular prism , it can be seen that there are three edges meeting at single vertex at right angle.

For line segment JA, there are two ending points.

Therefore, the of edges meeting at vertex J and A right angle to JA=  JE,JT, AR, AH,

Hence, the edges perpendicular to JA =RA,  EJ and JT