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What to know for the Chapter 11 Test
Definitions
 Median of a trapezoid
 Apothem of a regular polygon
 Radius of a regular polygon
 Sector of a circle
 Segment of a circle
 Annulus
Postulates
 Area of a rectangle
 Congruent shapes have congruent areas
 Area of the union of polygons is the same as the sum of their individual areas
 Area of a circle
 Circumference of a circle
Theorems
 Area of a parallelogram (Theorem 98)
 Area of a triangle (Theorem 99)
 Area of a trapezoid (Theorem 100)
 The length of a median of a trapezoid (Theorem 101)
 Area of a trapezoid using the Median (Theorem 102)
 Area of a kite (Theorem 103)
 Area of a regular triangle (Theorem 104)
 Area of a regular polygon (Theorem 105)
 Area of a sector of a circle (Theorem 106)
 Area of a segment of a circle
 Area of an annulus
 Similar Figures Theorem (Theorem 107)
 Median areas theorem (Theorem 108)
 Hero's Formula (Theorem 109)
 Brahmagupta's Formula (Theorem 110)
Problem Types
 Finding areas (parallelogram, triangle, trapezoid, kite, regular polygons, sector, segment, annulus)
 Finding side, part (e.g., altitude, median, etc.) lengths based on a given area
 Finding the ratio of areas of polygons
 Finding the ratio of areas of similar polygons
 Finding the area of triangles using Hero's Formula
 Finding the area of cyclic quadrilaterals using Brahmagupta's Formula
