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2-1-21 Similarity Statements HW

Total questions: 15

Worksheet time: 17mins

Name
Class
Date
1.

Given

 ΔJKLΔXYZ\Delta JKL\sim\Delta XYZ  ,  K = ?\angle K\ =\ ?  

a)

 X\angle X  

b)

 Y\angle Y  

c)

 Z\angle Z  

d)

none of the above

2.

Given

 ΔJKLΔXYZ\Delta JKL\sim\Delta XYZ  ,  JK  ?\overline{JK}\ \leftrightarrow\ ?  

a)

 YZ\overline{YZ}  

b)

 XZ\overline{XZ}  

c)

 XY\overline{XY}  

d)

none of the above

3.

Given

 ΔCDEΔFGH\Delta CDE\sim\Delta FGH  

which is true?

a)

 DEFG\overline{DE}\leftrightarrow\overline{FG}  

b)

 CEFH\overline{CE}\leftrightarrow\overline{FH}  

c)

 CDGH\overline{CD}\leftrightarrow\overline{GH}  

d)

 DEFH\overline{DE}\leftrightarrow\overline{FH}  

4.

Given

 ΔCDEΔFGH\Delta CDE\sim\Delta FGH 

which is true?

a)

 C=H\angle C=\angle H 

b)

 D=G\angle D=\angle G 

c)

 E=F\angle E=\angle F 

d)

 D=F\angle D=\angle F 

5.

Pentagons KLMNP and QRSTU are similar. Which of the following statements is true about the pentagons?

a)

KLTU=NMRQ\frac{KL}{TU}=\frac{NM}{RQ}

b)

MNTU=PKQR\frac{MN}{TU}=\frac{PK}{QR}

c)

LMRS=KPQU\frac{LM}{RS}=\frac{KP}{QU}

d)

NPTU=LMQR\frac{NP}{TU}=\frac{LM}{QR}

6.

Rectangles MNQP and FGHJ are similar. Which statement below is true about the rectangles?

a)

FGMN=HJNQ\frac{FG}{MN}=\frac{HJ}{NQ}

b)

MPFJ=QPHJ\frac{MP}{FJ}=\frac{QP}{HJ}

c)

NQHG=PMJF\frac{NQ}{HG}=\frac{PM}{JF}

d)

GNHQ=PJFM\frac{GN}{HQ}=\frac{PJ}{FM}

7.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

8.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
9.

If triangle BOX ~ CAR which of the following is NOT true?

a)

<B = <C; <O = <A; <X = <R

b)

<X = <C; <O = <A; <B = <R

c)

<R = <X; <A = <O; <C = <B

d)

<X = ,R; <O = <A; <B = <C

10.

Trapezoids ABCD and ABQP are similar. Which of the following statements is true about the trapezoids?

a)

ADAB=BCBQ\frac{AD}{AB}=\frac{BC}{BQ}

b)

CDQP=CBBA\frac{CD}{QP}=\frac{CB}{BA}

c)

ADAP=CDQP\frac{AD}{AP}=\frac{CD}{QP}

d)

BQBC=QPCA\frac{BQ}{BC}=\frac{QP}{CA}

11.

True or False: similar figures are the same shape and size with corresponding sides and angles.

a)

true

b)

false

12.
True or False: congruent figures are the same shape, but a different size. 
a)
true
b)
false
13.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
14.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
15.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE