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In Math / Junior High School | 2025-07-09

Classify each polygon as convex or non convex if non convex draw a line segment on the polygon which shows that some part are outside the polygon. ​

Asked by rafaelhuet1963

Answer (1)

Polygon 1:• It has no indentations. All interior angles are less than 180°.Classification: Convex2️⃣ Polygon 2:• This shape also has no inward dents. All points are pointing outward.Classification: Convex3️⃣ Polygon 3:• This polygon has an inward dent (concave part). One angle is more than 180°.Classification: Non-convex (concave)✔️ To show this, draw a line segment inside the shape that goes outside the polygon when extended — for example, connect two outer vertices that pass through the “dent”.4️⃣ Polygon 4:• This shape is like a kite or diamond — no inward dents.Classification: Convex⸻Summary:1 — Convex2 — Convex3 — Non-convex (draw line through dent)4 — Convex

Answered by chxrrybbe | 2025-07-09