The problem asks to select a figure from the Answer Figures that will continue the given series.

Let's analyze the pattern:

Observing the Sequence:

The given figures (A, B, C, D, E) depict a vertical line with triangular shapes on both sides. Here’s what I notice:

• Figures A to E are alternating in structure based on the position of the triangular patterns on both sides of the vertical line.
  • Figure A has 4 triangles on the left and 2 on the right.
  • Figure B has 3 triangles on the left and 3 on the right.
  • Figure C has 2 triangles on the left and 4 on the right.
  • Figure D has 1 triangle on the left and 5 on the right.
  • Figure E has no triangles on the left and 6 on the right.

Predicting the Next Figure:

Following the above pattern, the number of triangles on the left side decreases by one each time, while the number of triangles on the right side increases by one. After Figure E (with 0 triangles on the left and 6 on the right), the next figure in the series should have:

• No triangles on the left (left side remains empty).
• 7 triangles on the right side.

Finding the Matching Figure:

By examining the answer choices, figure (4) matches this pattern, as it has no triangles on the left and 7 on the right.

Conclusion:

The correct answer is 4 (option a).

Would you like more details or explanations? Here are some related questions you can explore:

1. What are other examples of figure completion series?
2. How do alternating geometric patterns typically progress?
3. How can identifying symmetry help in solving pattern-based puzzles?
4. What are