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BI
Big Ideas Math Geometry, 2014
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Quiz
1. Basics of Geometry
p. 1-61
13 Subchapters
2. Reasoning and Proofs
p. 63-121
13 Subchapters
3. Parallel and Perpendicular Lines
p. 123-169
12 Subchapters
4. Transformations
p. 171-227
13 Subchapters
5. Congruent Triangles
p. 229-297
15 Subchapters
6. Relationships Within Triangles
p. 299-355
13 Subchapters
7. Quadrilaterals and Other Polygons
p. 357-413
12 Subchapters
8. Similarity
p. 415-459
11 Subchapters
9. Right Triangles and Trigonometry
p. 461-525
14 Subchapters
10. Circles
p. 527-652
14 Subchapters
11. Circumference, Area, and Volume
p. 591-663
15 Subchapters
12. Probability
p. 665-719
13 Subchapters
Additional Topic
1 Subchapters
Start
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Exercises
p. 486
17 Solutions
1
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17
p. 486
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Exercise
17
Page
486
Page
486
Hint & Answer
Solution
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Digital math tools
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Geogebra classic
Thinking
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Hints
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A
a
Special
right triangles
are
45^(∘)-45^(∘)-90^(∘) triangles
and
30^(∘)-60^(∘)-90^(∘) triangles
.
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Show hint for A
B
b
All 45^(∘)-45^(∘)-90^(∘) triangles are
similar
by the
Angle-Angle (AA) Similarity Theorem
.
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C
c
The '
Right Triangle Similarity Theorem
states that if the
altitude
is drawn to the
hypotenuse
of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
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Check the answer
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A
a
See solution.
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B
b
Triangle A is similar to Triangle C, and Triangle B is similar to Triangle E.
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C
c
Triangle
B
:
3sqrt(3)/2
Triangle
C
:
3sqrt(2)
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Practice makes perfect
Practice exercises
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Progress overview
Similarity Theorems About Triangles
Level 1 exercises - Similarity Theorems About Triangles
Level 2 exercises - Similarity Theorems About Triangles
Level 3 exercises - Similarity Theorems About Triangles
Subchapter links
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Exercises
p.486
1
Exercises
2
(Page 486)
Exercises
3
(Page 486)
Exercises
4
(Page 486)
Exercises
5
(Page 486)
Exercises
6
(Page 486)
7
8
9
10
11
12
13
14
15
16
Exercises
17
(Page 486)
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