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In Chapter 1, you studied many common geometric shapes and learned ways to describe a figure using its attributes. In this chapter, you will further investigate how to describe a complex figure by developing ways to accurately determine its angles, area, and perimeter. You will also use transformations from Chapter 1 to uncover special relationships between angles within a figure.
Throughout this chapter you will be asked to solve problems, such as those involving area or angles, in more than one way. This will require you to “see” shapes in multiple ways and to gain a broader understanding of problem solving.
In this chapter, you will will deepen your understanding of:
- The relationships between pairs of angles formed by transversals and the angles in a triangle.
- How to find the area and perimeter of triangles, parallelograms, and trapezoids.
- The relationship among the three side lengths of a right triangle (the Pythagorean Theorem).
- How to determine when the lengths of three segments can and cannot form a triangle.
(Angle Relationships, Probability, Pythagorean Theorem, Triangle Inequality Theorem, Solving Complex Equations)
(Solving Systems of Equations, Writing Equations of Lines, Transformations, Classifying Shapes, Area and Perimeter)
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