6.6: Chapter 6 Review
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*} | |
---|---|---|---|---|---|---|
Trapezoid | ||||||
Isosceles Trapezoid | ||||||
Kite | ||||||
Parallelogram | ||||||
Rectangle | ||||||
Rhombus | ||||||
Square |
- How many degrees are in a:
- triangle
- quadrilateral
- pentagon
- hexagon
- 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*}.
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.