Question

select all of the consecutive and opposite sides of quadrilateral dprt. a b c d e consecutive sides: \\( \overline { d p } \\) and \\( \overline { r t } \\), \\( \overline { p r } \\) and \\( \overline { d t } \\) opposite sides: \\( \overline { d p } \\) and \\( \overline { p r } \\), \\( \overline { p r } \\) and \\( \overline { r t } \\), \\( \overline { r t } \\) and \\( \overline { d t } \\), \\( \overline { d t } \\) and \\( \overline { d p } \\)

Explanation:

Step1: Recall the definition of consecutive sides

Consecutive sides of a quadrilateral share a common vertex.
For quadrilateral \(DPRT\), \(\overline{DP}\) and \(\overline{PR}\) share vertex \(P\), \(\overline{PR}\) and \(\overline{RT}\) share vertex \(R\), \(\overline{RT}\) and \(\overline{DT}\) share vertex \(T\), \(\overline{DT}\) and \(\overline{DP}\) share vertex \(D\).

Step2: Recall the definition of opposite sides

Opposite sides of a quadrilateral do not share a common vertex.
In quadrilateral \(DPRT\), \(\overline{DP}\) and \(\overline{RT}\) do not share a common vertex, \(\overline{PR}\) and \(\overline{DT}\) do not share a common vertex.

Answer:

Consecutive sides: \(\overline{DP}\) and \(\overline{PR}\), \(\overline{PR}\) and \(\overline{RT}\), \(\overline{RT}\) and \(\overline{DT}\), \(\overline{DT}\) and \(\overline{DP}\)
Opposite sides: \(\overline{DP}\) and \(\overline{RT}\), \(\overline{PR}\) and \(\overline{DT}\)