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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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.!!


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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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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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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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.((((((((((


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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Name:(_____________________________________( ( ( ((((( ((((((((((((((((((((((((((Answer(Sheet(Part(A(

1.!!! 2.! 3.!

4.! 5.! 6.!

7.! 8.! 9.!

10.! 11.! 12.!

13.! 14.! 15.!

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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.!


Part(E((1.! 2.! 3.!

((4.!! ! ! ! ! ! ! !!!!!!!5.!

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6.!! ! ! ! ! ! ! !!!!!!!7.!

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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!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

3.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

4.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

5.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

6.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

7.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!

8.!Name!of!solid:!


Number!of!edges:!!

Number!of!faces:!!

Number!of!bases:!

Shape!of!base:!


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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