1. **Problem statement:** Identify the parts of the quadrilateral illustrated by the given points, segments, and angles. 2. **Understanding the quadrilateral:** The quadrilateral is named M N P R with vertices M (top-left), N (top-right), P (bottom-right), and R (bottom-left). The sides are \( \overline{MN} \), \( \overline{NP} \), \( \overline{PR} \), and \( \overline{RM} \). The diagonals are \( \overline{MP} \) and \( \overline{NR} \). 3. **Step-by-step answers:** 1. M and N: These are two adjacent vertices connected by side \( \overline{MN} \). 2. M and P: These are opposite vertices connected by diagonal \( \overline{MP} \). 3. \( \overline{MP} \) and \( \overline{NQ} \): \( \overline{MP} \) is a diagonal of the quadrilateral. \( \overline{NQ} \) is not part of the quadrilateral as Q is not a vertex; possibly a typo or external segment. 4. \( \overline{MN} \) and \( \overline{PQ} \): \( \overline{MN} \) is a side of the quadrilateral. \( \overline{PQ} \) is not part of the quadrilateral since Q is not a vertex. 5. \( \overline{MQ} \) and \( \overline{PQ} \): Neither \( \overline{MQ} \) nor \( \overline{PQ} \) are parts of the quadrilateral since Q is not a vertex. 6. \( \overline{NP} \): This is a side of the quadrilateral connecting vertices N and P. 7. MNPR: This is the quadrilateral itself, named by vertices M, N, P, and R. 8. \( \angle MNP \) and \( \angle NPR \): These are two adjacent interior angles at vertex N formed by sides \( \overline{MN} \), \( \overline{NP} \), and diagonal \( \overline{NR} \). 9. \( \angle MNP \) and \( \angle MRP \): \( \angle MNP \) is at vertex N, \( \angle MRP \) is at vertex R; both are interior angles of the quadrilateral. 10. \( \overline{MR} \) and \( \overline{MN} \): \( \overline{MR} \) is a side of the quadrilateral connecting vertices M and R; \( \overline{MN} \) is a side connecting M and N. **Final summary:** The parts illustrated are sides, diagonals, vertices, and interior angles of the quadrilateral M N P R. Segments involving Q are not part of the quadrilateral.