6 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Measurement You can find the sum of the interior angle measures of any polygon using a formula based on its number of sides.	Polygon Angle-Sum Theorems (Lesson 6-1) Sum = ( n − 2 ) 180 , cap sum equals . open n minus 2 close 180 comma  where n is the number of sides
2 Reasoning and Proof If you know certain information about the sides, angles, or diagonals of a quadrilateral, you can classify it.	Parallelograms (Lessons 6-2 and 6-3)	Special Parallelograms (Lessons 6-4 and 6-5) Rhombus Rectangle Square
	Trapezoids and Kites (Lesson 6-6) Trapezoid Kite	Coordinate Proofs (Lesson 6-9)
3 Coordinate Geometry Coordinate proofs use variable coordinates to prove relationships in the coordinate plane.	Applying Coordinate Geometry (Lessons 6-7 and 6-8) midpoint : ( x 1 + x 2 2 , y 1 + y 2 2 ) distance : ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 slope : y 2 − y 1 x 2 − x 1 table with 3 rows and 1 column , row1 column 1 , midpoint , colon open . fraction x sub 1 , plus , x sub 2 , over 2 end fraction . comma . fraction y sub 1 , plus , y sub 2 , over 2 end fraction . close , row2 column 1 , distance , colon . square root of open , x sub 2 , minus , x sub 1 , close squared . plus . open , y sub 2 , minus , y sub 1 end sub , close squared end root , row3 column 1 , slope , colon . fraction y sub 2 , minus , y sub 1 , over x sub 2 , minus , x sub 1 end fraction , end table

Chapter Vocabulary

• base, base angle, and leg of a trapezoid (p. 389)
• consecutive angles (p. 360)
• coordinate proof (p. 408)
• equiangular, equilateral polygon (p. 354)
• isosceles trapezoid (p. 389)
• kite (p. 392)
• midsegment of a trapezoid (p. 391)
• opposite angles (p. 359)
• opposite sides (p. 359)
• parallelogram (p. 359)
• rectangle (p. 375)
• regular polygon (p. 354)
• rhombus (p. 375)
• square (p. 375)
• trapezoid (p. 389)

Choose the vocabulary term that correctly completes the sentence.

1. A parallelogram with four congruent sides is a(n) _ ? . modified under bar with question mark above , .
2. A polygon with all angles congruent is a(n) _ ? . modified under bar with question mark above , .
3. Angles of a polygon that share a side are _ ? . modified under bar with question mark above , .
4. A(n) _ ? modified under bar with question mark above  is a quadrilateral with exactly one pair of parallel sides.

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