http://www.ck12.org Chapter 6. Polygons and Quadrilaterals
- If a quadrilateral has perpendicular diagonals, what type of quadrilateral is it?
- If a quadrilateral has diagonals that are perpendicular and congruent, what type of quadrilateral is it?
- If a quadrilateral has four congruent sides and one right angle, what type of quadrilateral is it?
Determine what type of quadrilateralABCDis.
6.A(− 2 , 4 ),B(− 1 , 2 ),C(− 3 , 1 ),D(− 4 , 3 )
7.A(− 2 , 3 ),B( 3 , 4 ),C( 2 ,− 1 ),D(− 3 ,− 2 )
8.A( 1 ,− 1 ),B( 7 , 1 ),C( 8 ,− 2 ),D( 2 ,− 4 )
9.A( 10 , 4 ),B( 8 ,− 2 ),C( 2 , 2 ),D( 4 , 8 )
10.A( 0 , 0 ),B( 5 , 0 ),C( 0 , 4 ),D( 5 , 4 )
11.A(− 1 , 0 ),B( 0 , 1 ),C( 1 , 0 ),D( 0 ,− 1 )
12.A( 2 , 0 ),B( 3 , 5 ),C( 5 , 0 ),D( 6 , 5 )
SRU Eis a rectangle andPRUCis a square.
- What type of quadrilateral isSPCE?
- IfSR=20 andRU=12, findCE.
- FindSCandRCbased on the information from part b. Round your answers to the nearest hundredth.
Summary
This chapter starts by introducing interior and exterior angles in polygons. Then, all special types of quadrilaterals
are explored and classified, both on and off the coordinate plane.
Chapter Keywords
- 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
- Rectangle Theorem
- Rhombus Theorem
- Square Theorem
- Trapezoid
- Isosceles Trapezoid
- Isosceles Trapezoid Diagonals Theorem
- Midsegment (of a trapezoid)
- Midsegment Theorem