Question

match the description to the two - dimensional figure it represents.
figure whose circumference is the product of the diameter and pi
polygon with eight sides and eight angles
polygon with three interior angles whose sum is 180 degrees
polygon with all sides congruent and all angles 90 degrees

Explanation:

• For the first description, the formula for the circumference of a circle is \(C = \pi d\) (where \(C\) is circumference and \(d\) is diameter).
• An octagon is a polygon with eight sides and eight angles.
• The sum of the interior angles of a triangle is \(180^{\circ}\) (using the formula \((n - 2)\times180^{\circ}\) for the sum of interior angles of a polygon, where \(n = 3\) for a triangle: \((3-2)\times180^{\circ}=180^{\circ}\)).
• A square is a polygon with all sides congruent and all angles equal to \(90^{\circ}\).

Answer:

1. circle
2. octagon
3. triangle
4. square