16.5
period 2:
1. Q: On line w find B
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2. Q: Given: Diagram as marked Find: AF:FD
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3. Q: In /\ ABC, AE is the median. D is anywhere on AC, and AE intersects BD at F. If AD:DC= 4:5, find BF:FD.
4. Q: Given: Diagram as shown Find: AG:GD
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5. Q: Given: Figure shown Find: HJ:JK
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Period 3:
1. Q:
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AF/FB=3/4, CE/BE=1/2, Find AD/DC
A: 3/2
2. Q:
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CF trisects AB so that AF/FB=1/2, CD/DB=1/2, Find AG/GD
A: 3/2
3. Q:
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Weight A = 3, Weight B = 5, Weight C = 2, what's Weight D?
A: 10
4. Q:
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AD/DC= 3/5, CE/EB= 2/3, Find BF/FA
A: 5/2
5. Q:
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AB is parallel to CD, Weight A=10, AB:CD = 2:3, Find Weight D
A: 3? *answer not given, badger David Fu for the answer*
Period 4
1. Q: Let triangle ABC be a right triangle with AB = 17, BC = 15, and CA = 8. Let CD be the altitude to the hypotenuse and let the median from B to AC intersect AC at F and CD at E. Find BE/EF and CE/ED.
A: BE/EF = 450y/64y = 225/32, CE/ED = 289z/225z = 289/225
2. Q:
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In the figure shown, AF = 3, AD:DC = 5:4, and CF intersects BD at G so that BG:GD = 9:1. Find BF.
A: 12
3. Q:
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In the figure shown, AO = 7, AD:DB = 2:3, and BE:EC = 7:3. Find AO:OE.
A: AO/OE = 7 / (63 / 20) = 140 / 63 = 20 / 9
4. Q: Point E is selected on side AB of triangle ABC in such a way that AE:EB = 1:3 and point D is selected on side BC so that CD:DB = 1:2. The point of intersection of AD and CF is F. Find EF/FC + AF/FD.
A: EF/FC + AF/FD = d/2d + c/c = ½ + 1 = 1 ½
5. Q:
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In the figure shown, AB/BC = 4/5 and CD/CE = 2/1. Find CG/GF.
A: CG/GF = 13z/4z = 13/4
Period 5
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