fall$ geometry(summer( assignment(teachers.dadeschools.net/mcooper/geometry... ·...
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Mourning(Sr.(High(
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Geometry(Summer(Assignment(
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Parts!A(E!are!required!for!all!students.!Parts!F(H!are!
required!for!Geometry!Honors!students!only.!Directions:!
1.!Show!all!of!your!work.!
2.!Write!your!final!answers!on!the!answer!sheet!
provided!at!the!end!of!the!assignment.!!
3.!If!you!need!help,!there!are!links!provided!on!the!last!
page!with!extra!help!resources.!
This(assignment(will(be(collected(for(a(grade(the(first(week(of(school.(
08!Fall$
Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
A.(The(Coordinate(Plane((
Use!this!graph!to!answer!the!following!questions.!!
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Name!the!coordinates!of!each!point.!!
(1.(M! ! ! 6.(T!!
2.(N! ! ! 7.(U!!
3.(K! ! ! 8.(V!!
4.(R! ! ! 9.(W!!
5.(S! ! ! 10.(Q!!
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11.(Name!all!the!points!shown!that!lie!on!the!x(axis.!!12.(Name!all!the!points!shown!that!lie!on!the!y(axis.!!13.!What!is!the!x(coordinate!of!every!point!that!lies!on!a!vertical!line!through!P?!14.!Identify!which!of!the!following!point(s)!lie!on!a!horizontal!line!through!W.!!! ((2,!1),!(2,!3),!(1,!(3),!((2,!0),!(0,!(3),!(2,!0)!
15.(Name!the!two!points!that!both!have!a!y(coordinate!value!of!3.!!!
B.(Solving(Equations(and(Inequalities((Solve!each!equation!or!inequality.!Show!all!steps.!Simplify!and!leave!answers!as!fractions.!!
(1.(!!!!2! + 5 = 13! ! !!!!2.(!!!12+ 2! = 2+ 5!!!!!!!!!!!!!!!!!!!!3.((((4! + 5+ 5! + 40 = 180!!
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(4.((((2 4! + 4 = ! + 1! !!!!5.((((2 ! + 5 = 3(! − 2)!!!!!!!!!!!!!!6.((((180− ! ≤ 3(90− !)!!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
7.(((180− ! > 2(90− !)!!!!!!!!! ! ! 8.(((((6! − 3 6− 5! ≥ −4(2− !)(((((((((
9.(!!!10− !! 8! − 12 < !
! (2! − 4)!!!!!!!!!!!!!!!!!!!!!!!!!!!10.((((– 3! − 1 + 7 > 3 ! − 5 + 4!!
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C.(Solving(Literal(Equations((Solve!each!equation!for!the!given!variable.!!
1.(!Perimeter!of!rectangle:!!! = 2! + 2!.!!!!!Solve!for!l.!!!
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2.(Volume!of!a!Prism:!!! = !"ℎ.!!!!!Solve!for!w.!!!
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3.((Surface!Area!of!a!Sphere:!!!! = 4!!!.!((((Solve!for!r.!!
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4.((Lateral!Area!of!a!Cylinder:!!!!! = 2!"ℎ.!!!!!Solve!for!h.!!!
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5.(Area!of!a!Regular!Polygon:!!!!! = !! !".!!!!!!!Solve!for!a.!
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6.(Volume!of!a!Cylinder:!!!!! = !!!ℎ.!!!!!!Solve!for!h.!!
Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
7.(Area!of!a!Triangle:!!!!!! = !! !ℎ.!!!!!!Solve!for!h.!
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8.(Circumference!of!a!Circle:!!!!! = 2!".!!!!Solve!for!r.!!
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9.(Volume!of!a!Cone:!!!!! = !!!!
!ℎ.!!!!!!!Solve!for!r.!!!
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10.((Area!of!a!trapezoid:!!!!!! = !! ℎ(!! + !!).!!!!Solve!for!!!.!
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D.(The(Distance(Formula(and(Slope(In!order!to!be!successful!in!Geometry!class!next!year,!it!is!crucial!that!you!understand!how!to!use!both!the!distance!and!slope!formulas.!Memorizing!these!formulas!is!a!MUST!!
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The!Distance!Formula:!!!! = (!! − !!)! + (!! − !!)!!!
Formula!for!Slope:!!!!!! = !!!!!!!!!!
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Find!the!distance!between!each!pair!of!points.!Round!your!answer!to!the!nearest!tenth,!if!
necessary.!!
1.((((2,!3),!((7,!(7)! ! ! 2.((2,!(9),!((1,!4)! ! ! 3.((5,!9),!((7,!(7)!!
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4.(((8,!5),!((1,!3)! ! ! ! ! ! 5.(((((10,!(7),!((8,!1)!!!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Find!the!slope!of!the!line!through!each!pair!of!points.!!
6.((((2,!3),!((7,!(7)! ! ! 7.((2,!(9),!((1,!4)! ! ! 8.((5,!9),!((7,!(7)!!
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9.(((8,!5),!((1,!3)! ! ! ! ! ! 10.(((((10,!(7),!((8,!1)!!!
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E.(Graphing.((!
Slope(Intercept!Form:!!!! = !" + !!!
Point(Slope!Form:!!!!! − !! = !(! − !!)!!
Use!the!slope!formula!to!find!the!slope!of!the!line!containing!each!set!of!points.!Write!the!
equation!of!each!line!in!both!slope(intercept!and!point(slope!form.!!
1.(((((3,!6),!((6,!0)! ! ! 2.((((7,!2),!((1,!(4)!! ! ! 3.((5,!1),!(5,!4)!!
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Graph!each!of!the!equations!on!the!graph!provided.!!
4.((−10! + 2! = 6! ! ! ! ! 5.((!! = 5! − 4!!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Graph!each!system!of!linear!equations!on!the!graph!provided.!!
6.!!!!!! = 1− 2!! ! ! ! ! 7.(((((! = 2! + 7!!!!!!!!!!!! = −5+ 4!! ! ! ! ! !!!!!!!!!! = −3!!
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F.(Simplifying(Radical(Expressions(Radicals!are!in!the!simplest!form!when!there!are!no!perfect!square!factors!inside!the!
radical.!!
Simplify!the!following!problems!completely!using!perfect!squares!or!factor!trees.!Do!NOT!
use!a!calculator!to!find!the!decimal!approximations!for!these!square!roots.!Show!ALL!work.!!
(1.(!! 36!!!!!!!!! !!!!!!!!!!!!!!!!!2.((( 27!!! ! ! !!!3.( 400!!!!!!!!!!!!!!!! !! !4.((!! 80!!
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5.(((− 9!!!!!!!!!!!!!!!!!!!!!!!!!!!6.((((( !"!"((((((((((( (((((((((((((((((7.(((2 72!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8.(((( 5)!!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
G.(The(Pythagorean(Theorem.((The!Pythagorean!Theorem:!!!!!! + !! = !!.!!
Use!the!Pythagorean!theorem!to!find!the!missing!side.!Leave!your!answers!in!simplest!radical!form.!!
1.(( ( ( ( ( ( ( 2.!!!
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3.((( ( ( ( ( ( ( 4.(((((((((((((5.((( ( ( ( ( ( ( 6.((((((((((
Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
H.(Basic(Figures.(For!each!geometric!solid!below,!identify!the!following:!name(of(solid,(number(of(vertices,(number(of(edges,(number(of(faces,(number(of(bases,(and(the(shape(of(the(base.(((1.(( ( ( ( ( ( ( ( 2.(((((((((((3.(( ( ( ( ( ( ( ( 4.!!!
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5.!! ! ! ! ! ! ! ! 6.!!!
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7.(( ( ( ( ( ( ( ( 8.!!!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Name:(_____________________________________( ( ( ((((( ((((((((((((((((((((((((((Answer(Sheet(Part(A(
1.!!! 2.! 3.!
4.! 5.! 6.!
7.! 8.! 9.!
10.! 11.! 12.!
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Part(B(1.! 2.! 3.! 4.! 5.!
6.! 7.! 8.! 9.! 10.!
(Part(C(1.! 2.!
3.! 4.!
5.! 6.!
7.! 8.!
9.! 10.!
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Part(D(1.! 2.! 3.! 4.! 5.!
6.! 7.! 8.! 9.! 10.!
Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Part(E((1.! 2.! 3.!
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6.!! ! ! ! ! ! ! !!!!!!!7.!
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Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Part(F(1.! 2.! 3.! 4.!
5.! 6.! 7.! 8.!
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Part(G((1.! 2.! 3.!
4.! 5.! 6.!
(Part(H(1.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
2.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
3.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
4.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
5.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
6.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
7.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
8.!Name!of!solid:!
Number!of!vertices:!
Number!of!edges:!!
Number!of!faces:!!
Number!of!bases:!
Shape!of!base:!
Geometry!2015!–!Summer!Assignment!–!Alonzo!&!Tracy!Mourning!Senior!High! !
Resources:(The!Coordinate!Plane!–!!
https://www.khanacademy.org/math/basic(geo/basic(geo(coordinate(plane!
http://www.mathopenref.com/coordplane.html!
Solving!Linear!Equations!and!Inequalities!(!
https://www.khanacademy.org/math/algebra/solving(linear(equations(and(inequalities!
Solving!Literal!Equations!(!!
http://www.purplemath.com/modules/solvelit.htm!
The!Distance!Formula/Pythagorean!Theorem!(!
https://www.khanacademy.org/math/basic(geo/basic(geo(pythagorean(topic!
Graphing!Lines!and!Slope!–!!
https://www.khanacademy.org/math/algebra(basics/core(algebra(graphing(lines(slope!
Simplifying!Radical!Expressions!(!!
https://www.khanacademy.org/math/pre(algebra/exponents(radicals/radical(radicals!
Basic!Figures!–!!
http://www.mathopenref.com/tocs/solidtoc.html!
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