Question

1.6 worksheet
tell whether the figure is a polygon. if it is not, explain why. if it is a
polygon, tell whether it is convex or concave.
1.
2.
3.

Explanation:

Problem 1:

Step 1: Define Polygon

A polygon is a closed figure with 3 or more straight sides.

Step 2: Analyze Figure 1

Figure 1 has a curved side (the top arc) and straight sides. Since polygons require all sides to be straight, it is not a polygon.

Step 1: Check if Polygon

Figure 2 is closed with straight sides (5 sides, a pentagon).

Step 2: Convex/Concave Test

A convex polygon has all interior angles < 180°; concave has at least one interior angle > 180°. Figure 2 has a "dent" (an interior angle > 180°), so it is concave.

Step 1: Check if Polygon

Figure 3 is closed with 5 straight sides (a pentagon).

Step 2: Convex/Concave Test

All interior angles appear < 180°, so it is convex.

Answer:

Not a polygon (has a curved side).

Problem 2: