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6.6: Chapter 6 Review

Difficulty Level: At Grade Created by: CK-12

Keywords and Theorems

Angles in Polygons

  • Polygon Sum Formula
  • Equiangular Polygon Formula
  • Regular Polygon
  • Exterior Angle Sum Theorem

Properties of Parallelograms

  • Parallelogram
  • Opposite Sides Theorem
  • Opposite Angles Theorem
  • Consecutive Angles Theorem
  • Parallelogram Diagonals Theorem

Proving Quadrilaterals are Parallelograms

  • Opposite Sides Theorem Converse
  • Opposite Angles Theorem Converse
  • Consecutive Angles Theorem Converse
  • Parallelogram Diagonals Theorem Converse
  • Theorem 6-10

Rectangles, Rhombuses, and Squares

  • Rectangle Theorem
  • Rhombus Theorem
  • Square Theorem
  • Theorem 6-14
  • Theorem 6-15
  • Theorem 6-16

Trapezoids and Kites

  • 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.

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 \begin{align*}\|\end{align*} Diagonals bisect each other Diagonals \begin{align*}\bot\end{align*} Opposite sides \begin{align*}\cong\end{align*} Opposite angles \begin{align*}\cong\end{align*} Consecutive Angles add up to \begin{align*}180^\circ\end{align*}180
Isosceles Trapezoid
  1. How many degrees are in a:
    1. triangle
    2. quadrilateral
    3. pentagon
    4. hexagon
  2. Find the measure of all the lettered angles below. The missing angle in the pentagon (at the bottom of the drawing), is \begin{align*}138^\circ\end{align*}138.

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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