V. Quadrilaterals Benchmark Students investigate properties and relationships of quadrilaterals using symmetry, congruence, and transformations. Indicators Examine properties of angles, sides, and diagonals of quadrilaterals and determine measures using algebraic and coordinate methods. Determine perimeter and area measures of quadrilaterals and apply these to real-life situations. Solve problems involving the ratios of sides, perimeters, and areas of similar quadrilaterals. Polygons Benchmark Students investigate a variety of polygons to determine measures and properties, including fundamental relationships between angles and segments.
Indicators Identify and classify different types of polygons.
Informally derive and apply formulas for the area of regular polygons. Find perimeters and areas of figures that can be divided into polygonal and circular regions. Circles Benchmark Students investigate properties of circles focusing on relationships among angles, arcs, lines, and chords. Indicators Use appropriate vocabulary to identify and describe circles and their related parts. Apply relationships among tangents, radii, and chords to solve problems involving measurement in circles.