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Chapter 6 7 Vocabulary
a b
Ratio (Page 282) A comparison of two quantities
Proportion (Page 283) Equivalent fractions set
equal to each other.
a b
c d

3 4
6 x
Cross Products (page 283) Cross Multiplication

6 8
3 4
Extremes/
Means (pages 283)

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Chapter 6 7 Vocabulary
Similar Polygons Polygons with the same shape
but different in size
are proportional. (Page 289)
A
B
E
F
4
8
C
D
8
G
H
16
AD CD
EH GH
8 16
64 64
4 8


Scale Factor The ratio resulting in the
comparison of two lengths
(we simply reduce)
4 8
1 2
a scale factor of

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Chapter 6 7 Vocabulary
Angle Angle (AA) Postulate If two angles of 2
triangles are
congruent, then the triangles are

similar. (Page 298)
3rd Angle Theorem and Angle Sum Theorem
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Chapter 6 7 Vocabulary
SSS Similarity If the measures of the
corresponding sides of
2 triangles are proportional, then the triangles
are similar. (Page 299)
5
3
10
6
4
8
3 4
6 8

3 6
4 8

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Chapter 6 7 Vocabulary
SAS Similarity If the measures of 2 sides of a
triangle are proportional to 2 sides of another
triangle, and the included angles are congruent,
then the triangles are similar. (Page 299)
5
10
4
8
4 5
8 10

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Chapter 6 7 Vocabulary
Triangle Proportionality Theorem and its
Converse A line parallel to another side of a
triangle intersecting the same triangle separates
the triangle into proportional segments. (Page
307, 308)
10
6
8
3 3
5 5

5
3
5
3
8
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Chapter 6 7 Vocabulary
D Mid-segment Theorem (Page 308) A mid-segment
of a triangle is parallel to one side of said
triangle and has a length half that of the side
to which it is parallel.
10
6
10
8
6
16
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Chapter 6 7 Vocabulary
Proportional Perimeters Theorem If 2 triangles
are similar, then the measures of their
perimeters are proportional to the measures of
the corresponding sides. (Page 316)
10
6
8
6 24
3 12

5
3
4
72 72
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Chapter 6 7 Vocabulary
Similar Triangle Theorem 1 If 2 triangles are
similar, then the measures of their
corresponding altitudes are proportional to the
measures of their corresponding sides. (Page 317)

6 6
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Chapter 6 7 Vocabulary
Similar Triangle Theorem 2 If 2 triangles are
similar, then the measures of their
corresponding angle bisectors are proportional to
the measures of their corresponding sides. (Page
317)
A
B
C
D
E
AD EH
AB EF

G
F
H
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Chapter 6 7 Vocabulary
Similar Triangle Theorem 3 If 2 triangles are
similar, then the measures of their
corresponding medians are proportional to the
measures of their corresponding sides. (Page 317)
A
B
C
D
E
AD EH
AC EG

G
F
H
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Chapter 6 7 Vocabulary
Iteration Repeating the same process over and
over again. (Page 317)
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Chapter 6 7 Vocabulary
Fractal A Geometric figure that is created using
iteration. (Page 325)
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Chapter 6 7 Vocabulary
Self Similar Where we observe smaller portions
of a shape or figure to
possess the same geometric characteristics
as the original figure. (Page
325)
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Chapter 6 7 Vocabulary
Pythagorean Theorem a2 b2 c2 (Page 350)
Pythagorean Triple (Page 352)
Justification 9 16 25 25 144 169 4
4 8 4 12 16
3 4 5
5 12 13
(45-45-90) (30-60-90)