Name: Per: Date:--------------------------------- ------ ---~----------

Math 8H TransformationsN olume Review

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Write a rule to describe the transformation that is a reflection in the x-axis.A) (x, y) -+ (y, x) D) (x, y) -+ (x, -y)B) (x,y) -+ (-x,y) E) None of the aboveC) (x,y) -+ (-x, -y)

2. Write a description of the rule (x,y) -+ (x - 2,y - 7).A) translation 2 units to the right and 7 units upB) translation 2 units to the right and 7 units downC) translation 2 units to the left and 7 units upD) translation 2 units to the left and 7 units downE) None of the above

In the diagram, the dashed figure is the image of the solid figure.

E R,'1

, II

" I" ,S I~" \

I II II __ -1 QT L_--------

3. Name the image of DE.A) TQB) RFC) QR

D) FTE) None of the above

4. Name the image of LFED.A) LSTQB) LRQTC) LEFC

D) LSRQE) None of the above

ID: A

A) (x,y) ~ (x - 3,y + 4)B) (x,y) ~ (x + 3,y - 4)C) (x,y) ~ (x + 4,y - 3)

D) (x,y) ~ (x - 4,y + )E) None of the above

• • . I I I

5. Write a rule to describe the translation of MBC to M B C .y

0

A

/\/ \,'

/ 11\ x

/ / \t/ \

J \ B'

C'

6. Which statement is NOT true for Similar Figures (dialations)?A) Corresponding angles are equal D) Corresponding angles ave a 1:1 ratioB) Corresponding sides all have the same E) None ofthe above

ratioC) All sides are exactly the same length

7. If square PQRS gets rotated 90° clockwise about the origin, what will the C ordinates of the image of point R be?y

x

A) (-4,4)B) (4,-4)C) (4,0)

D) (-4,-4)E) None of the above

2

8. ABCDE is similar to GHJDF. Complete the statements.

A

E

F

B

D J C

a. LGHJ corresponds to

h. FD corresponds to

A) LABC;EDB) LDEA;HJC) LEAB;DC

D) LABC;AEE) None of the above

3

C)

unterclockwise about the origin.

y

'" ~ -~ V'r/1,

\ ~ 1/ 1/ r\ / /

b ~ 1/ xL, I...•.•- -- './

Y

~----I 7-~

,./1 '/

" /\"" /

~ v.: -, xr-, ..~1--.s-

'L.

9. Graph ~TWX and its image after a rotation of 90° coy

--I-- :;7r" 1/,~\ 1"- /\ /

A ~ X~

'L.

A)y

--I--t7 '.r"" b' '7~ ..-1\ K/\ 1/<; T

~ -, \ xr": \"\l

,

B)y

---7-.'-'-, /

\ / H,\ /l /

~ ~ 1/ \ xi/ \

1/ "/ '--~ -~ I

D)

4

C)

bout the origin.

y

r'\f\. I

- I'\ I-,

~ x

J f\.7

II. \ -, ~U v

y~

f'~

~ \ I<, I,'\. I'\.

--- ---~4- , x'il

-

10. Graph MBC and its image after a rotation of 1800 ay

~ ~~\ I

I'\ I-,

~ ~ x

A)"y

~ ~f'\ 'U

I 17 c''\

I /-, II /'-.V/

b -I--, tr:

B)y

~

"u

-, II

\ I B'-, ---- :;:::::;;

4 12 ~ x<,

r-,r-, C'

D)

5

11. The dashed triangle is a dilation image of the solid triangle. What is the sc le factor? (HINT: measure a set ofcorresponding sides, then put it into a ratio of small:large.)

y

..,~

<,\

"- ~\ \"-

-IS -4 "-~ \-, "- x~

..,-u

1A) - D) 2

41

B) - E) None of the above22

C) -3

12. Write a rule to describe the transformation that is a reflection in the y-axis.A) (x, y) ~ (x, -y) D) ex, y) ~ (y, x)B) (x, y) ~ (-x, y) E) None of the aboveC) (x,y) ~ (-x, -y)

13. Which letter has rotational symmetry?A) SB) DC) L

D) UE) None of the above

14. The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-l, -8). Name the vertices of the image reflected acrossthe y-axis.A) P'(-2,-4),Q'(2,-5),R'(-1,-8)B) P'(-2,4), Q'(2,5), R'(-1,8)C) P'(2, -4), Q'(-2, - 5), R'(1, - 8)

D) P'(2, 4), Q'(-2, 5), R (1, 8)E) None of the above

6

15. Graph M?ST with vertices R(3, 7), S(-5, -2), and T(3

C)

, -5) and its image aft r a reflectionI

yI

, I n

( I

~ I /-. I /N/

~I '- X

.,/ Pi< ~'( I

I

I

II

I YI

I

R I F,'I

~ I /-, I /B W x

~ 1,-.,/ Pi< '-Q.

I n

I

II

A)I Y

L , I

i< I j-, I / 1

\..I /

'\VI- rI< ~

A ~' x

~ I '1

I

I

I

II

B)I YI

R I Z ,

• I

l"- I /I\. I /

'W,.,--" I\... xu ~

*v ~I

"'(

I

I

II

D)

7

over x = -3.

16. Graph MST with vertices R(O, 4), S(-5, -1), and T(3N qy

I~"\

", 1\T x-- --

J II 11..J

B) y

n

t> i\r. 1/

8Cr

-- - - -- x

, r-, J~ /

R'

17. The vertices of a triangle are P(-3, 8), Q(-6, -4), andx-axis.A) P'(3, 8),Q'(6, -4),R'(-I, 1) D)B) P'(-3, 8),Q'(-6, -4),R'(1, 1) E)C) P'(-3, - 8), Q'(-6, 4), R'(l, -1)

D)

, -1) and its image aft r a retlectioy

-"'1

1\-- -- x

J' r7f1..J

,

y

7

171\1/ \

-- cJ -- x.: -, J

r\:[7

R(l, 1). Name the ve ices of the i

P'(3, -8), Q'(6, 4),R '(-I, -I)None of the above

n over y = -2.

mage retlected across the

8

18. Which graph shows a triangle and its reflection image in the x-axis?~ q

y

B)y

x

Name the type of symmetry for the figure.

19.

A) reflectionalB) rotationalC) rotational and reflectional

y'-,-- ,-,---,--;

!-----f--I--i.-+4- _I _; i I i

i!-----'--·······f·\i. -·1-2- -I --¥'-f- ..·1··..···,1

D)y

I ~----;--\-4-- i

-1II

D) no symmetryE) None of the above

9

x

x

Find the volume of the given prism. Round to the nearest tenth if neces ary.

20.

11 ft

Not drawn to scale

A) 308 ft3 B) 301 ft3 C) 298 ft3

21.

17m

2m

Find the volume of the cylinder in terms of n:

22.

10 in .

..,.-"-- ...;-". "'''''..•

Not drawn to scale

A) 140rc in.3 B) 490rc in.3 C) 70rc in.3

10

D) 312 ft3

D) 245rc in.'

Find the volume of the square pyramid shown. Round to the nearest t th as necessary.

23.

12 em

Not drawn to seale

A) 40 crn ' B) 480 cm' C) 147.3 em3

Find the volume of the cone shown as a decimal rounded to the neares tenth.

24.

14yd--+-~

Not drawn to scale

A) 366.5 yd'' B) 1026.3 yd ' C) 73.3 yd '

11

D 720 cm'

D) 549.8 yd '

I

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

25.

A) 262 mm3 B) 524 mrn ' C) 314 mrn ' D) 105 mm3

26. Michele wanted to measure the height of her school's flagpole. She placed mirror on the ground 48 feet from theflagpole, then walked backwards until she was able to see the top of the pol in the mirror. Her eyes were 5 feetabove the ground and she was 12 feet from the mirror. Using similar triangl s, find the height of the flagpole tothe nearest tenth of a foot.

"" .••.•........ ...

48 ft 12 ft

A) 20 ft B) 38.4 ft C) 55 ft

Sft

D) 25 ft

27. Find the value of the variable if m II l, mL'1 = 2x + 44 and mL'5 = 5x + 38. The diagram is not to scale.

1 23 4

~----T-~m

A) 1 B) 2 C) 3

12

D) -2

This diagram of airport runway intersections shows two parallel run ys. A taxiway crosses both runways.

••~.. ....'....

"'r •••I ....••••.8: "".I .••.•••I II ••••: 4: 1'....,.....I , 2I ,I ,I ,I 1I 1

5

1

28. If":::::8measures 119, what is the sum of the measures of ":::::1and ":::::4?A) 122 B) 238 C) 119 D) 299

29. How are ..:::::6and z'z related?A) corresponding anglesB) alternate interior angles

C) same-side interior an lesD) none of these

30. Parallelogram PARL ~ parallelogram WXYZ. Find the value of c.

A R

P 15 L

A) 45

x y

w 45 z

B) 21 C) 3

13 I

D) 22