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Given MN // SP, SM // QN, and MR // NP, write the relation between the areas of parallelogram MNQS and parallelogram MNPR, given they share the base MN.
Mathematics
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Given in the figure: MN // SP, SM // QN, and MR // NP.
From these conditions, we can deduce that:
- MNQS is a parallelogram because MN // SQ (since MN // SP) and SM // QN.
- MNPR is a parallelogram because MN // RP (since MN // SP) and MR // NP. Also, since MN // SP, the line segment SP (which contains Q and R) is parallel to MN.
a) Write the relation between areas of parallelogram MNQS and parallelogram MNPR.
Step 1: Identify the common base and parallel lines.
Both parallelograms MNQS and MNPR share the same base MN.
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