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Geo Chapter 7 Similarity
Con il contributo di: DiLaura
(Autore originale: Karsten)
7.1
Another way of writing the ratio ⅓ is :
1 to 3
1 : 3
all of the above
7.1
Fill in the blank: 
A ____________________ is an equation
stating two ratios are equal.
portion
ration
proportion
propeltion
7.1
A proportion compares two numbers by:
multiplication
division
addition
powers
7.1
The ratio of the angle measures in a triangle is
1:2:3.  What is the measure of the largest angle?

largest angle =
2x
3x
degrees
1x
7.1
Solve the following proportion for x.


x = 
120            x
40             2 
=
7.1
Solve the following proportion for x.


x = 
2x - 1           x + 1
6                 2
=
7.1
Solve the following proportion for x.


x = 
x + 2             x - 1
3                 4
=
7.1
Solve the following proportion for x.


x = 
4               x
x             16 
=
7.1
Solve the following proportion for x.


x = 
9               x
x              4 
=
7.1
Solve the following proportion for x.


x = 
25              5
x               3
=
7.1
Solve the following proportion for x.


x = 
12             -3 
x              1.5
=
The ratio of the lengths of a triangle are 4:6:9 and
its perimeter is 57cm.  Find the length of the
shortest side.
7.1
short side =
7.1
Write a ratio expressing the slope of line m.

slope =
Write a ratio expressing the slope of line l.
Write the numerator as a negative number.
7.1
slope =
7.1
Solve the following proportion for x.

 
x = 
x             3 + x
2                 8
=
7.1
Solve the following proportion for x.

x = 
14             35
x              50
=
7.2
Fill in the blank:
Two figures are similar if and only if their 
sides are _____________________ and their 
angles are ___________________. 
congruent; congruent
congruent; proportional
proportional; congruent 
proportional; proportional
Are the figures below similar?


7.2
Yes
No
Are the figures below similar? If so, find the
similarity ratio.
7.2
No, not similar figures
Yes, similarity ratio = ⅔
Yes, similarity ratio = 5
Yes, similarity ratio = ⅓
7.2
Are the figures below similar?


Yes
No
Are the figures below similar?


7.2
Yes
No
Tell if the triangles are similar. If so, give the
similarity ratio.
7.2
Yes, similarity ratio = 2/ 2.3
Yes, similarity ratio = 1.5 / 1.7
No, Not Similar
Yes, similarity ratio = 1.4 / 1.6
7.2
Write a similarity statement for the similar
polygons below.  Find the similarity ratio
JIHK ~
similarity ratio =
 .7
1.56
1.25
7.2
Write a similarity statement for the similar
polygons below.  Find the similarity ratio.
ABC ~
similarity ratio =
2/3
5/8
.77
7.2
A replica car has a similarity ratio of 2:45.  The
replica car has a length of 6.4 inches.  Find the
length of the original car in feet.
* remember to change answer to feet!!
length of the original =
feet
7.2
A replica car has a similarity ratio of 1:30.  The
replica car has a width of 3.2 inches.  Find the
width of the original car in inches.
width of the original =
inches
7.3
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
Not similar
Similar, AA
 Similar, SAS
Similar SSS
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
7.3
Not similar
Similar, AA
 Similar, SAS
Similar SSS
7.3
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
Not similar
Similar, AA
 Similar, SAS
Similar SSS
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
7.3
Similar SSS
Not similar
 Similar, SAS
Similar, AA
7.3
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
 Similar, SAS
Similar SSS
Not similar
Similar, AA
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
7.3
 Similar, SAS
Similar SSS
Not similar
Similar, AA
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
7.3
Not similar
Similar, AA
 Similar, SAS
Similar SSS
7.3
Determine whether the polygons are similar. 
If so, identify the theorem or postulate used.
 Similar, SAS
Similar, AA
Similar SSS
Not similar
area ∆ABC = 32
Given that the two triangles are similar use the 
similarity ratio to find the perimeter of ∆XYZ
A
12
Area of ∆XYZ = 
C
B
X
18
Y
Z
Find  the perimeter of WXYZ.
(just write the number, no units)
7.5
7.5
If two triangles have a similarity ratio of ½ 
Find the perimeter and area ratios.
perimeter ratio = ¼    area ratio = 2
perimeter ratio = ½     area ratio = (½)2
perimeter ratio = (½)2    area ratio = ½
7.5
If two triangles have a similarity ratio of ⅜ 
find the ratio of their perimeters and area.
perimeter ratio = ⅜    area ratio = 6/16
perimeter ratio = ⅜     area ratio = ⅜
perimeter ratio = ⅜     area ratio = 9/64
7.5
Find  the area of WXYZ.
(just write the number, no units)
Find the height of the pole, segment DF.  Write
                                               your answer without
                                               units.
7.5
Round your answer to the nearest foot.
7.5
7.5
Round to the nearest foot. 
7.5
21.4 m
90.0 m
168.0 m
288.0 m
7.5
23.45 m
30.6 m
75.0 m
85.8 m
Given that ∆ABC~∆ADE, find the scale factor.
7.6
3/5
5/3
5/4
3/4
Given that ∆ABC~∆ADE, find the coordinates of D.
7.6
(0, -20)
(-20, 0)
(0, -11)
(-11, 0)
Given that ∆PQR~∆PST, find the scale factor.
7.6
3
1.13
2.67
.89
Given that ∆PQR~∆PST, find the coordinates of S.
7.6
(0, 8)
(0, 6)
(6, 0)
(8, 0)
7.6
The figure shows a photograph on grid paper.
What are the coordinates of C' if the photo is
enlarged by a dilation of 1.5?
(3, 5)
(4.5, 5)
(3, 7.5)
(4.5, 7.5)
T'(15, 22.5)
T'(7.5, 9)
T'(4.5, 6.75)
T'(2.5, 20)
7.6
7.6
1/3
1/2
2/3
3/2
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