Which of the following figures lie on the same base and between the same parallels?

Options

A.
B.
C.
D. Both (a) and (c)

Answer

To determine which figures lie on the same base and between the same parallels, we will analyze the given figures step by step.

### Step-by-Step Solution:

1. **Identify the Figures:**
We have three figures to analyze. Let's denote them as Figure A, Figure B, and Figure C.

2. **Understand the Concept:**
For two figures to lie on the same base and between the same parallels, they must share a common base line and be enclosed by two parallel lines.

3. **Examine Figure A:**
- Identify the base of Figure A. Let's say the base is line BC.
- Check if there are two parallel lines that enclose Figure A. If they exist, Figure A lies between these parallels.

4. **Examine Figure B:**
- Identify the base of Figure B. Let's say the base is line PQ.
- Check if Figure B is enclosed by two parallel lines. If it is not, then it does not satisfy the condition.

5. **Examine Figure C:**
- Identify the base of Figure C. Let's say the base is line BQ.
- Check if there are two parallel lines that enclose Figure C. If they exist, Figure C lies between these parallels.

6. **Compare the Figures:**
- For Figure A and Figure C, if they share the same base and are enclosed by the same parallel lines, they satisfy the condition.
- For Figure B, if it does not lie between the same parallels as A and C, it does not satisfy the condition.

7. **Conclusion:**
- After analyzing all three figures, we find that Figures A and C lie on the same base and between the same parallels.
- Therefore, the correct answer is that both Figure A and Figure C satisfy the condition.

### Final Answer:
The figures that lie on the same base and between the same parallels are **Figure A and Figure C**.

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