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the figure shown is a rectangular prism.
which edges are perpendicular to \\( \overline { j a } \\) ?
select each correct answer.
\\( \square \overline { t r } \\)
\\( \square \overline { r a } \\)
\\( \square \overline { p h } \\)
\\( \square \overline { j t } \\)
\\( \square \overline { e j } \\)

Explanation:

Step1: Recall the property of perpendicular edges in a rectangular prism

In a rectangular prism, two edges are perpendicular if they meet at a right - angle.

Step2: Analyze each edge

• For \(\overline{TR}\): \(\overline{TR}\parallel\overline{JA}\) (in a rectangular prism, opposite edges of the same - type face are parallel), so they are not perpendicular.
• For \(\overline{RA}\): \(\overline{RA}\) and \(\overline{JA}\) meet at vertex \(A\) and form a right - angle (\(\angle RAJ = 90^{\circ}\)), so they are perpendicular.
• For \(\overline{PH}\): \(\overline{PH}\parallel\overline{JA}\) (in a rectangular prism, opposite edges of the same - type face are parallel), so they are not perpendicular.
• For \(\overline{JT}\): \(\overline{JT}\) and \(\overline{JA}\) meet at vertex \(J\) and form a right - angle (\(\angle TJA=90^{\circ}\)), so they are perpendicular.
• For \(\overline{EJ}\): \(\overline{EJ}\) and \(\overline{JA}\) are skew (not in the same plane and do not intersect), so they are not perpendicular.

Answer:

\(\overline{RA}\), \(\overline{JT}\)