10 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Measurement You can find the area of a polygon, or the circumference or area of a circle, by first determining which formula to use. Then you can substitute the needed measures into the formula.	Areas of Polygons (Lessons 10-1, 10-2, and 10-3) Parallelogram A = b h . eh equals b h . Triangle A = 1 2 b h . eh equals . 1 half , b h . Trapezoid A = 1 2 h   ( b 1 + b 2 ) equals , 1 half . h open , b sub 1 . plus , b sub 2 , close Rhombus or kite A = 1 2 d 1 d 2 eh equals , 1 half , d sub 1 , d sub 2 Regular polygon A = 1 2 a p eh equals . 1 half , eh p	Area of a Triangle Given SAS (Lesson 10-5) Area of Δ A B C = 1 2 b c ( sin   A ) cap delta eh b c , equals . 1 half , b c open sine eh close
	Circles and Arcs (Lesson 10-6) C = π d  or  C = 2 π r m A B C ⌢ = m A B ⌢ + m B C ⌢ length of  A B ⌢ = m A B ⌢ 360 ⋅ 2 π r table with 3 rows and 1 column , row1 column 1 , c equals pi d , or c equals 2 pi r , row2 column 1 , m . modified eh b c with frown above . equals m , modified eh b with frown above , plus m , modified b c with frown above , row3 column 1 , length of . modified eh b with frown above , equals . fraction m , modified eh b with frown above , over 360 end fraction . dot 2 pi r , end table	Areas of Circles and Sectors (Lesson 10-7) Area of ⊙ O = π r 2 circle dot , o equals , pi , r squared Area of sector AOB = m A B ⌢ 360 ⋅ π r 2 equals . fraction m , modified eh b with frown above , over 360 end fraction . dot pi , r squared
2 Similarity The perimeters of similar polygons are proportional to the ratio of corresponding measures. The areas are proportional to the squares of corresponding measures.	Perimeter and Area (Lesson 10-4) If the scale factor of two similar figures is a b , eh over b , comma  then (1) the ratio of their perimeters is a b eh over b  and (2) the ratio of their areas is a 2 b 2 . fraction eh squared , over b squared end fraction . .

Chapter Vocabulary

• adjacent arcs (p. 650)
• altitude (p. 616)
• apothem (p. 629)
• arc length (p. 653)
• base (pp. 616, 618)
• central angle (p. 649)
• circle (p. 649)
• circumference (p. 651)
• concentric circles (p. 651)
• congruent arcs (p. 653)
• congruent circles (p. 649)
• diameter (p. 649)
• geometric probability (p. 668)
• height (pp. 616, 618, 623)
• major arc (p. 649)
• minor arc (p. 649)
• radius (pp. 629, 649)
• sector of a circle (p. 661)
• segment of a circle (p. 662)
• semicircle (p. 649)

Choose the correct term to complete each sentence.

1. You can use any side as the _ ? _ modified under bar with  of a triangle.
2. A ( n ) _ ? _ eh open n close modified under bar with  is a region bounded by an arc and the two radii to the arc's endpoints.
3. The distance from the center to a vertex is the _ ? _ modified under bar with  of a regular polygon.
4. Two arcs of a circle with exactly one point in common are _ ? _ . modified under bar with

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