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Holiday Coordinate Polygons
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Holiday Coordinate Polygons
Draw your own coordinate grid, then use it to plot each set of vertices in order. Connect the final point back to the first point. Show your work for perimeter calculations.
Winter Tree Polygon
1.Plot and connect the vertices in order: A(0, 7), B(−2, 5), C(−3, 3), D(−1, 3), E(−2, 1), F(2, 1), G(1, 3), H(3, 3), I(2, 5). What outline do the points form?
2.How many sides does the polygon made by connecting A through I and returning to A have? Give its polygon name.
3.Find the perimeter of the winter tree polygon with vertices A(0, 7), B(−2, 5), C(−3, 3), D(−1, 3), E(−2, 1), F(2, 1), G(1, 3), H(3, 3), and I(2, 5), in that order. Give an exact value and an approximation to the nearest hundredth.
Star Polygon
4.Plot and connect these vertices in order, then return to J: J(0, 5), K(−2, 2), L(−4, 2), M(−1, 0), N(−2, −3), O(0, −1), P(2, −3), Q(1, 0), R(4, 2), S(2, 2). What familiar shape appears?
5.The star outline is made by joining J, K, L, M, N, O, P, Q, R, and S in order, then closing the shape. How many sides does it have, and what is the polygon name?
6.Calculate the perimeter of the star with vertices J(0, 5), K(−2, 2), L(−4, 2), M(−1, 0), N(−2, −3), O(0, −1), P(2, −3), Q(1, 0), R(4, 2), and S(2, 2), in that order. Give an exact answer and an approximation to the nearest hundredth.
Compare and Transform
7.Compare the perimeters of the winter tree and star from this worksheet. Which is greater, and approximately how much greater is it?
8.Describe one method for finding the area enclosed by the winter tree with vertices A(0, 7), B(−2, 5), C(−3, 3), D(−1, 3), E(−2, 1), F(2, 1), G(1, 3), H(3, 3), and I(2, 5).
9.Point J is at (0, 5). Translate the whole star 4 units right and 3 units up. What are the new coordinates of J?
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