7-1B Similar Polygons What is a proportion? What are proportions used for in Geometry? What Geometry...
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Transcript of 7-1B Similar Polygons What is a proportion? What are proportions used for in Geometry? What Geometry...
![Page 1: 7-1B Similar Polygons What is a proportion? What are proportions used for in Geometry? What Geometry symbol is used for is similar to? What similar figure.](https://reader036.fdocuments.in/reader036/viewer/2022082621/5a4d1b7f7f8b9ab0599ba6d0/html5/thumbnails/1.jpg)
7-1B Similar PolygonsWhat is a proportion?
What are proportions used for in Geometry?What Geometry symbol is used for “is similar to”?
What similar figure is used for travel?
![Page 2: 7-1B Similar Polygons What is a proportion? What are proportions used for in Geometry? What Geometry symbol is used for is similar to? What similar figure.](https://reader036.fdocuments.in/reader036/viewer/2022082621/5a4d1b7f7f8b9ab0599ba6d0/html5/thumbnails/2.jpg)
Definition
• Proportion--an equation stating that two ratios are equal.
32
128
gal1mi
gal10mi300 x
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Geometry Symbols
The symbol ~ means “is similar to”. The order of the letters in the similarity correspondence indicates the corresponding parts.
ABC ~ XYZ
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ABCDE ~ MNOPQ. Name all pairs of congruent corresponding angles, and write proportions using the pairs of corresponding sides.
QEPDOCNBMA
,,
,,:Angles
QMEA
PQDE
OPCD
NOBC
MNAB
lengthsSide
A
BC
D
E
M
N O
P
Q
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Write the similarity correspondence. Name all pairs of congruent corresponding angles and write proportions using the pairs of corresponding sides.
JIHEFG ~HGIFJE ,,
21
HJGE
IHFG
JIEF
YXWVQRST ~
WSXRYQVT
,,,
3VYTQ
WVST
XWRS
YXQR
E
F
G3
4
537°
H
I
J
6
8
1053°
Q R
ST
45
60 75
90WV
XY 1520 25
30
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Map Reading
The scale on a map relates the size of an object on the map to its actual size.
Where do you find the scale on a map?Use the scale and algebra to find the distance
between Mishawaka and Kokomo.
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Given: FGHJ~WXYZFind YZ
Since the length of the corresponding sides are proportional, set up a proportional statement.
YZHJ
WXFG
YZ14
129
3218
91214
YZ
F
G
H
J9
14
W
X
Y
Z12
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EFGH ~ KNML• Find the measures of angles E, G, and N.• Find x, y, and z.• What is the similarity ratio of KNML to EFGH?
67Em
E
F
GH
10143°
43°
46
X
K
L M
N
10
35
y
z67°
107°
x = 14, y = 15, z = 25
107Gm 43Nm
5/2
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• What is a proportion?A proportion is an equation stating that two ratios
are equal.• What are proportions used for in Geometry?To find the length of the sides of similar figures.• What Geometry symbol is used for “is similar
to”? ~• What similar figure is used for travel?Maps
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Assignment 7-1Bp. 471, 1-8, 11-13, 28-33