WorksheetsProportions and Similar Polygons
Total questions: 26
Worksheet time: 1hrs 18mins
Name
Class
Date
1.
The ratio 5:15 simplifies to...
a)
1:3
b)
3:1
c)
1:5
d)
3:5
2.
What is the ratio of circles to squares?
a)
3:1
b)
2:1
c)
1:2
d)
5:3
3.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
4.
Solve the proportion.
a)
10
b)
-2
c)
4
d)
-7
5.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
6.
What side corresponds with AB?
a)
BC
b)
FE
c)
DE
d)
FD
7.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
8.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
9.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
10.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
11.
What side corresponds with AB?
a)
BC
b)
FE
c)
DE
d)
FD
12.
Solve for b
a)
8
b)
17/12
c)
4/3
d)
1/8
13.
Name the cross products of the proportion: am=ht
a)
mt = ah
b)
th - ma
c)
mh = at
d)
am = ht
14.
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
15.
Pick the correct Similarity Statement for the Triangles shown.
a)
ΔABC ~ ΔPRQ
b)
ΔABC ~ ΔPQR
c)
ΔCBA ~ ΔPRQ
d)
ΔACB ~ ΔQRP
16.
Find the Scale Factor of the big triangle to the small triangle.
a)
2.5
b)
0.4
c)
1.6
d)
3.75
17.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
18.
Which figure is similar?
a)
A
b)
B
c)
C
d)
D
19.
Are the following similar? Why or why not?
a)
Yes
b)
No
20.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
21.
What is the scale factor from the large triangle to the small triangle?
a)
1/2
b)
2/3
c)
3/4
d)
2
22.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
23.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
24.
What is the scale factor from ABC to DEF?
a)
2
b)
3/2
c)
2/3
d)
1/2
25.
Find the scale factor (common ratio) between the two triangles.
a)
3/2
b)
1
c)
9/4
d)
4/9
26.
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
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