Representing Syntax and Composition with Geometric Transformations

Transformations Mathematical Thinking: Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. Chapter 4 Transformations Mathematical Mathematical Thinking Thinking Using Dynamic Geometry Software Mathematically profi cient students select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems. (G.1.C) Monitoring Progress Monitoring Progress Use dynamic geometry software to draw the polygon with the given vertices. Use the software to fi nd the side lengths and angle measures of the polygon. Round your answers to the nearest hundredth. 1. A(0, 2), B(3, -1), C(4, 3) 2. A(-2, 1), B(-2, -1), C(3, 2) 3. A(1, 1), B(-3, 1), C(-3, -2), D(1, -2) 4. A(1, 1), B(-3, 1), C(-2, -2), D(2, -2) 5. A(-3, 0), B(0, 3), C(3, 0), D(0, -3) 6. A(0, 0), B(4, 0), C(1, 1), D(0, 3) Finding Side Lengths and Angle Measures Use dynamic geometry software to draw a triangle with vertices at A(-2, -1), B(2, 1), and C(2, -2). Find the side lengths and angle measures of the triangle.