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NAME: DATE: FPC 1010: Math for the Arts 2-Dimensional Shapes and transformations Worksheet PART I: 2-DIMENSIONAL SHAPES 1. Draw a convex polygon in the space to the right. a. How many sides does it have? b. From one vertex of your polygon, draw all diagonals. c. How many triangles do the diagonals create? d. How do the number of triangles relate to the number of sides you started? e. What is the sum of the interior angles of your polygon? Polygon Sum Conjecture The sum of the measures of the n interior angles of an n-gon is # of Sides 3 4 5 6 7 8 9 10 N Sum of the interior angles Measure of one interior angle of a regular polygon Measure of one exterior angle of a regular polygonPART II: TRANSFORMATIONS Graph the image of the figure using the transformation given. 1: translation: 1 unit left and 2 units up 2. reflection across the x-axis 3 rotation 90 clockwise about the origin 4. translation: 4 units right and 1 unit down y +'. 5. v 6. \\ | T R LT i / T Graph the image of the figure using the transformation given. 9. rotation 90 clockwise about the origin ~ 10. reflection across y = x B(-2.0). C(4. 3). Z(-3. 4). X(-1.4) K(-5,-2), A(4, 1), 10, -1), J(=2, -4)