Arrange the following geometrical figures in ascending order based on the…
2025
Arrange the following geometrical figures in ascending order based on the number of their angles. i. Heptagon ii. Triangle iii. Hexagon iv. Decagon v. Pentagon vi. Quadrilateral
- A.
ii, vi, v, i, iii, iv
- B.
ii, v, vi, iii, i, iv
- C.
ii, vi, v, iii, i, iv
- D.
iv, i, iii, v, ii, vi
Attempted by 4 students.
Show answer & explanation
Correct answer: C
In a simple polygon, the number of interior angles is always equal to its number of sides — each polygon's name corresponds to one fixed, standard side count.
Figure | Number of angles (= sides) |
|---|---|
Triangle | 3 |
Quadrilateral | 4 |
Pentagon | 5 |
Hexagon | 6 |
Heptagon | 7 |
Decagon | 10 |
Arranging these six figures from the smallest angle-count to the largest:
Triangle (3 angles) has the smallest count, so it comes first.
Quadrilateral (4 angles) comes next.
Pentagon (5 angles) comes third.
Hexagon (6 angles) comes fourth.
Heptagon (7 angles) comes fifth.
Decagon (10 angles) has the largest count, so it comes last.
Using the roman-numeral labels given in the question (i. Heptagon, ii. Triangle, iii. Hexagon, iv. Decagon, v. Pentagon, vi. Quadrilateral), this ascending order corresponds to the sequence ii, vi, v, iii, i, iv.
Cross-check: reading off the angle counts in this order gives 3, 4, 5, 6, 7, 10 — a strictly increasing sequence, confirming the arrangement is correct.