Subjects geometry

Plot Polygons

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1. **State the problem:** Locate each group of points on a Cartesian plane and join the points in each group separately. 2. **Plotting points:** Each point is given as $(x,y)$ coordinates. Plot each point on the Cartesian plane where the x-axis ranges from -10 to 11 and the y-axis from -10 to 9. 3. **Groups of points:** (A) $(-10,1), (8,1), (6,-3), (-6,-3), (-10,1)$ (B) $(-6,1), (-6,2), (5,2), (5,1)$ (C) $(-4,2), (-4,3), (3,3), (3,2)$ (D) $(-1,3), (-1,7), (1,7), (1,3)$ (E) $(8,1), (8,3), (9,3), (9,2), (8,2)$ 4. **Join the points:** Connect the points in the order given for each group to form closed shapes. 5. **Identify the figures:** - (A) Connects 4 points and returns to the start, forming a quadrilateral. - (B) Connects 4 points forming a rectangle or parallelogram. - (C) Connects 4 points forming a rectangle or parallelogram. - (D) Connects 4 points forming a rectangle or square. - (E) Connects 5 points forming a pentagon. 6. **Explanation:** By plotting and joining the points, you create polygons. The shapes in (B), (C), and (D) are rectangles or squares because opposite sides are parallel and equal in length. (A) is a quadrilateral with vertices at the given points. (E) is a pentagon because it has five vertices. **Final answer:** - (A) Quadrilateral - (B) Rectangle - (C) Rectangle - (D) Rectangle or Square - (E) Pentagon