Answers to Geometry HW Packet

Pg. 1 -
#1 - heptagon, not regular, convex
#2 - hexagon, not regular, concave
#3 - quadrilateral, regular, convex (square)
#4 - quadrilateral, not regular, concave (dart)
#5 - pentagon, regular, convex
#6 - dodecagon, not regular, concave

Pg. 2 -
#1 - (7-2)*(180) = 900
#2 - (8-2)*(180) = 1080
#3 - (13-2)*(180) = 1980
#4 - ext = 360/5 = 72 ... int = 180-72 = 108
#5 - ext = 360/9 = 40 ... int = 180-40 = 140
#6 - ext = 360/10 = 36 ... int = 180-36 = 144
#7 - (6-2)*(180) = 720 ... 720-535 = 185
#8 - ext = 360/8 = 45 ... x+7 = 45 ... x = 38
#9 - x+3x+5x+3x = 12x = 360 ... x = 30 ... 30, 90, 150, 90
#4 - 360/30 = 12 sides
#5 - 360/20 = 18 sides
#6 - 360/5 = 72 sides
#10 - ext = 180-int = 180-157.5 = 22.5 ... 360/22.5 = 16 sides

Pg. 3 -
#8 - 2(midsegment) = (sum of bases) = (2)*(5.5) = 11
11 = 1+10 = 2+9 = 3+8 = 4+7 = 5+6

Pg. 4 -
#1 - (1/2)(34+20) = (1/2)(54) = 27
#2 - (1/2)(MA+17.6) = 28.6 ... MA = 39.6
#3 - (1/2)(HT+23.9) = 16.4 ... HT = 8.9
#4 - (1/2)(4x+3) = (x+12) ... x = 10.5
#5 - 63
#6 - 52
#7 - 180-2x
#4 - (1/2)(40+63) = 51.5
#5 - (1/2)(3.2+4.4) = 3.8
#6 - (1/2)(18+32) = 25
#7 - D = 114, E = 114, G = 66
#8 - M = 122, N = 122, O = 58
#9 - X = 107, Y = 73, Z = 73

Pg. 5 -
#1 - bases: AB, CD; legs: AD, BC; base angles: A,B or D,C
#2 - bases: EH, FG; legs: EF, HG: base angles: E,H or F,G
#3 - bases: JK, ML; legs: JM, KL; baxe angles: J,K or M,L
#9 - ask in class
#10 - ask in class