CGLA%Mathematics% Part 5: Common Core …

Part 5: Common Core Practice

Lesson 23

Solve thCAPeGreaLpaArr t ao Mn5bd:aleC t Pmhooeslmmy.gamotnioc sQn uCizo re Practice

Lesson 23

1.

So1lve thPeTahprrrteoe5b:clCeomornmse. mrs oonf aCroercetaPnrgacutlaicrecity block are located at (2, 2), (2, 24), and (25L,e2s4so) non23a

coordinate plane. What are the coordinates of the fourth corner?

So1lve theTAhprreoeb(l2ceom5r,ns8.e)rs of a rectangular city block are located at (2, 2), (2, 24), and (25, 24) on a

cBoord(i5n,a2te2p) lane. What are the coordinates of the fourth corner?

1

TAChree((c22o55rn,, e82r))s of a rectangular city block are located at (2, 2), (2, 24), and (25, 24) on a

cBDoordi((n52a,, t22e25p))lane. What are the coordinates of the fourth corner?

AC ((2255,,82))

2

BDWhat((52i,s,2t2h25e))perimeter

C A

2. (12 35,u2n)its

of

the

rectangular

city

block

in

problem

1?

2 DWB hat(22i6,s 2tuh5ne)itpserimeter of the rectangular city block in problem 1?

AC 1432 uunniittss

2 WBDhat 21is60tuhuenniipttsserimeter of the rectangular city block in problem 1?

AC 1432uunnitists

3 3 3

238

BD 2160uunnitists

COn th4e2 uconoitrsdinate plane, plot the A to E and then back to A to form

following points. a figure. What is

Then, connect the p oints

the area of the figure?

in

order

from

D 10 units

OAn(1t,h2e) coBo(r1d, i7n)ateCp(9la, n7)e, pDlo(9t,t3h)e foE(ll6o,w5)ing points. Then, connect the points in order from

A t3o. E and then back to A toy form a figure. What is the area of the figure?

OAn(1t,h2e) coBo(r1d,in7a)te Cp(la9n, e7,) ploDt(t9h,e3)follEo(w6,in5g) points. Then, connect the poTihnetsairneoarodfetrhferofmigure is

A to E and then back to A to form a figure. What is the area of the figure?

A(1, 2) B(1, 7) C(9, 7) D1(099y, 3) E(6, 5)

square units. The area of the figure is

1y087

The area of thseqfuigaurereuins its.

10 9 8 7 6 5

96 85 74 63 52 41 3

?4321?211

12 3 4

?11?1 1 2 3 4

L23: Polygons in the Coordinate Plane ?1?1 1 2 3 4 5

5

5 6

6

6 7

7

7 8

square units.

x 8 9 10

x 8 9 10

x 9 10

?Curriculum Associates, LLC

Copying is not permitted.

238 238

L23: Polygons in the Coordinate Plane

L23: Polygons in the Coordinate Plane

?Curriculum Associates, LLC Copying is not permitted. ?Curriculum Associates, LLC Copying is not permitted.

CGLA Mathematics

ArPeaa r atn5d: PCoolymgomn o QnuiCz ore Practice

4.

4 Which triangle has an area of 22.5 square units? Circle all that apply.

Lesson 23

y

y

Part 5: Common Core Practice

10

10

8

8

6

6

4 Which triangle has 42an area of 22.5 square units? Circle all42that apply.

A

-10 -8 -6 -4 -2 0y 2 4 6 8 10 x

C

-10 -8 -6 -4 -2 0y 2 4 6 8 10 x

-2

-2

10-4

10-4

8-6

8-6

6-8

6-8

-140

-140

2

2

A

-10 -8 -6 -4 -2 0 2 4 6 8 10 x

C

-10 -8 -6 -4 -2 0 2 4 6 8 10 x

-2 y

-2 y

-4

-4

-160

-160

-88

-88

-106

-106

4

4

2

2

B

-10 -8 -6 -4 -2 0y 2 4 6 8 10 x

D

-10 -8 -6 -4 -2 0y 2 4 6 8 10 x

-2

-2

10-4

10-4

8-6

8-6

6-8

6-8

-140

-140

2

2

B

-10 -8 -6 -4 -2 0 2 4 6 8 10 x

D

-10 -8 -6 -4 -2 0 2 4 6 8 10 x

-2

-2

5

The rectangle on t-4he coordinate plane below is

-4

y

a diagram of a fla-g6 . Each of the large triangles

-6

on the flag will be-8a different color. Is the same

-8

amount of mater-i1a0l needed for each color?

-10

Ex5p. l a i n why or why not.

Lesson 23

5 The rectangle on the coordinate plane below is

a diagram of a flag. Each of the large triangles on the flag will be a different color. Is the same

y1

1

x

amount of material needed for each color?

Explain why or why not.

6 Two vertices of a triangle are (0, 0) and (8, 0). The x-coordinate of the third vertex is 4.

Imagine that you draw, on a coordinate plane, several triangles that1meet all these conditions.

What would be the same about all the triangles you drew? What would1be different?x

6

TwoSveelrftCicheseockf a

tGrioanbgalcekaarned(0s,e0e)wahnadt(y8o, u0)c.aTnhcehxe-cckooorffdoinnattheeoSfetlhfeChtheicrkdovnerpteaxgeis241.9.

L23: PolygoImns ian gthienCeoortdhinaatte Pylaonue draw, on a coordinate plane, several triangles that meet all these conditio2n3s9.

?CurriculWumhAasstocwiatoesu, LldLCbeCotphyiengsias mnotepearmbiotteudt. all the triangles you drew? What would be different?

CGLA Mathematics Area and Polygon Quiz

6.

Roberta is making a sign in the shape of the trapezoid shown. What is the area of the sign?

2 ft

5 ft

angle

3 ft

7.

5 What is the area of the trapezoid?

Show your work.

8 cm

6 cm

12 cm

8.

2 A kitchen floor has the shape of this trapezoid.

Tell whether each statement is True or False.

a. The height of the trapezoid measures 5 meters.

5 m

How do you find the

4 m

area of a trapezoid?

3 m

u u True

False

b. You can separate the trapezoid

u into a triangle and a rectangle.

True

u False

c. You can use the expression

(3

?

4)

1

1

1 ?2?

?

2

?

4

2

to

find

the

area of the trapezoid.

u u True

False

u u d. The area is 12 square meters.

True

False

CGLA Mathematics

Area and Polygon Quiz

9.

4 Students play table tennis in a rectangular room that is 15 feet by 25 feet. There is 8 feet of floor space from each end of the table to the wall and 5 feet from each side of the table to the wall. What is the area of the floor not covered by the table?

You might want to draw a picture to help you.

A 40 square feet

C 170 square feet

B 45 square feet

D 330 square feet

10.

3 The floor plan for a sports store is shown below.

6 m

Clothing

4 m

8 m Equipment

How can you use the area of the clothing section to find the area of the equipment section?

10 m

Which statement about the floor plan is true? Select all that apply.

A The area of the equipment section is 80 square meters.

B The area of the clothing section is half the area of the equipment section.

C The area of the equipment section is 56 square meters.

D The area of the equipment section is the area of the store minus the area of the clothing section.

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