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Keywords and Theorems

  • Polygon Sum Formula
  • Equiangular Polygon Formula
  • Regular Polygon
  • Exterior Angle Sum Theorem
  • Parallelogram
  • Opposite Sides Theorem
  • Opposite Angles Theorem
  • Consecutive Angles Theorem
  • Parallelogram Diagonals Theorem
  • Opposite Sides Theorem Converse
  • Opposite Angles Theorem Converse
  • Consecutive Angles Theorem Converse
  • Parallelogram Diagonals Theorem Converse
  • Theorem 6-10
  • Rectangle Theorem
  • Rhombus Theorem
  • Square Theorem
  • Theorem 6-14
  • Theorem 6-15
  • Theorem 6-16
  • Trapezoid
  • Isosceles Trapezoid
  • Theorem 6-17
  • Theorem 6-17 Converse
  • Isosceles Trapezoid Diagonals Theorem
  • Midsegment (of a trapezoid)
  • Midsegment Theorem
  • Kite
  • Theorem 6-21
  • Theorem 6-22
  • Kite Diagonals Theorem

Quadrilateral Flow Chart

Fill in the flow chart according to what you know about the quadrilaterals we have learned in this chapter.

Sometimes, Always, Never

Determine if the following statements are sometimes, always or never true.

  1. A trapezoid is a kite.
  2. A square is a parallelogram.
  3. An isosceles trapezoid is a quadrilateral.
  4. A rhombus is a square.
  5. A parallelogram is a square.
  6. A square is a kite.
  7. A square is a rectangle.
  8. A quadrilateral is a rhombus.

Table Summary

Determine if each quadrilateral has the given properties. If so, write yes or state how many sides (or angles) are congruent, parallel, or perpendicular.

Opposite sides  \ || \ Diagonals bisect each other Diagonals \perp Opposite sides \cong Opposite angles \cong Consecutive Angles add up to 180^\circ
Trapezoid
Isosceles Trapezoid
Kite
Parallelogram
Rectangle
Rhombus
Square

Find the measure of all the lettered angles below. The bottom angle in the pentagon (at the bottom of the drawing) is 138^\circ.

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9691.

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