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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