Name:_________________________________________________
IdentifyingSimilarParts
Foreachproblem,listallofthematchingangles(singleletters)andallofthematchingsides(doubleletters).Then,createthethreefractionsets.1.
Angles Sides SideFractions
2.
Angles Sides SideFractions
3.β³PQR~β³ π½ππΎ
Angles Sides SideFractions
4.β³ABC~β³HGF
Angles Sides SideFractions
5.
Angles Sides SideFractions
6.
Angles Sides SideFractions
7.β³KLN~β³EHG
Angles Sides SideFractions
8.β³PAC~β³MAN
Angles Sides SideFractions
A
B
CD
E FGH IJ
K LMP N
XYZL
MN
SolvingProportionsForeachproblem,determinethevalueofx(startbycross-multiplying).
9. 2π₯=1421 10.
π₯5=1230
11. 69=8π₯ 12.
630
=π₯25
13. 2
π₯ + 8=69 14.
14=π₯ β 712
15. 56=
15π₯ + 2
16. π₯ β 43
=71
17. 4
π₯ + 5=
3π₯ β 2
18. π₯ + 73
=106
19. π₯ β 48
=π₯ + 19
20. 912
=1
π₯ + 2
Foreachproblembelow,pickafractionequationtouse,thenpluginthegiveninformationandsolveforx.21.β³ABC~β³LMNπ³π΅ = ππ,π©πͺ = π,π΄π΅ = ππ,π¨πͺ = π
π΄π΅π΅πΆ
=πΏπππ
π΅πΆπ΄πΆ
=πππΏπ
π΄π΅π΄πΆ
=πΏππΏπ
22.β³DEF~β³PRQπ«π¬ = π,π«π = π,π·πΉ = ππ,π·πΈ = ππ
π·πΈπΈπΉ
=ππ π π
πΈπΉπ·πΉ
=π πππ
π·πΈπ·πΉ
=ππ ππ
23.β³RST~β³AMYπΊπ» = π,π¨π΄ = π,πΉπΊ = π,π΄π = π
π πππ
=π΄πππ
πππ π
=πππ΄π
π ππ π
=π΄ππ΄π
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