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In which of the following figures, you f...

In which of the following figures, you find two polygons on the same base and between the same parallels?

A

B

C

D

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To solve the question of identifying which figure contains two polygons on the same base and between the same parallels, we can follow these steps: ### Step 1: Understand the Definitions - **Same Base**: Two polygons are said to be on the same base if they share a common line segment as their base. - **Between the Same Parallels**: Two polygons are said to be between the same parallels if both are enclosed by two parallel lines. ### Step 2: Analyze Each Figure - **Figure A**: Check if both polygons share a common base and if they are enclosed by two parallel lines. - **Observation**: They have the same base but are not between the same parallels. - **Figure B**: Again, check for the same base and parallel lines. - **Observation**: The triangle and quadrilateral share a base but are not between the same parallels. - **Figure C**: Repeat the analysis. - **Observation**: The triangle and quadrilateral share a base but are not between the same parallels. - **Figure D**: Finally, check this figure. - **Observation**: The quadrilaterals share the base QR and are between the same parallel lines PS and QR. ### Step 3: Conclusion After analyzing all figures, we find that only in **Figure D** do the two polygons (quadrilateral PAQR and quadrilateral BQRS) share the same base QR and are between the same parallel lines PS and QR. Thus, the answer is **Figure D**. ---
To solve the question of identifying which figure contains two polygons on the same base and between the same parallels, we can follow these steps: ### Step 1: Understand the Definitions - **Same Base**: Two polygons are said to be on the same base if they share a common line segment as their base. - **Between the Same Parallels**: Two polygons are said to be between the same parallels if both are enclosed by two parallel lines. ### Step 2: Analyze Each Figure - **Figure A**: Check if both polygons share a common base and if they are enclosed by two parallel lines. ...
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