Transcript FSA Review _Geometry_Circles

ETO High School
Mathematics
2014 – 2015
Geometry:
Circles
Build Your Mathematician
Build Your Mathematician:
2
1
1
3
2
4
6
5
5
7
4
3
6
8
7
8
Directions:
 Each group of 3 or 4 will choose a
mathematician they would like to
build.
 For each problem posted, all
groups will have between 2 and 4
minutes to complete the problems
with every member of the group
showing work on their individual
paper. Groups with correct
answers will have the opportunity
to have one piece of their
mathematician drawn. Any
member of the group can be
asked to explain their answer so
work together!
 The first group to complete the
drawing of their mathematician
wins!
#1
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1. Answer
𝒙+𝟐
𝟑𝒙
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𝒚−𝟏
𝟑𝒚
#2
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Points A, B, C, and D are on circle O, as shown.
It is also true that 𝐴𝐶 and 𝐵𝐷 intersect at point E, 𝑚∠𝐴𝑂𝐷 = 114°, and 𝑚∠𝐵𝐷𝐶 = 40°.
A.
B.
C.
D.
𝑚∠𝐷𝐶𝐴 = 114°; 𝑚𝐵𝐶 = 80°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 20°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 80°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 20°
2. Answer
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Points A, B, C, and D are on circle O, as shown.
It is also true that 𝐴𝐶 and 𝐵𝐷 intersect at point E, 𝑚∠𝐴𝑂𝐷 = 114°, and 𝑚∠𝐵𝐷𝐶 = 40°.
A.
B.
C.
D.
𝑚∠𝐷𝐶𝐴 = 114°; 𝑚𝐵𝐶 = 80°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 20°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 80°
𝑚∠𝐷𝐶𝐴 = 57°; 𝑚𝐵𝐶 = 20°
#3
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3. Answer
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83
130
#4
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4. Answer
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ABC
There are multiple correct solutions
180
ADC
#5
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5. Answer
Pythagorean
Theorem
𝒚+𝟒
𝒙 −𝟑
#6
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6. Answer
𝒓⦁
𝒙
𝟑𝟔𝟎
3.7𝒓 ⦁
𝒙
𝟑𝟔𝟎
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#7
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7. Answer
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#8
A definition for a circle is given below, but there are some words missing. Choose words
from the list and drag and drop them in the blanks so that the definition for a circle is
accurate.
arc
center
circle
equidistant
A circle can be defined as the set of all points in a(n)
from a given point called its
.
plane
radius
that are
space
8. Answer
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#9
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9. Answer
36
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#10
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10. Answer
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#11
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11. Answer
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#12
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12. Answer
46
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#13
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13. Answer
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#14
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14. Answer
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#15
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15. Answer
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#16
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Write an expression that represents the area of the shaded region
in terms of 𝜋 and 𝑚.
16. Answer
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Write an expression that represents the area of the shaded region
in terms of 𝜋 and 𝑚.
𝟓𝝅
𝒎
𝟏𝟖
#17
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17. Answer
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#18
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Which of these statements are true about the incenter of a triangle? Select all that apply.



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
The incenter is the point of concurrency of the medians of the triangle.
The incenter is equidistant from the sides of the triangle.
The incenter is equidistant from the vertices of the triangle.
The incenter is the point of concurrency of the angle bisectors of the triangle.
The incenter is the center of a circle inscribed in a triangle.
The incenter is the center of a circle that includes the three vertices of the triangle.
The incenter is the center of gravity of the triangle.
18. Answer
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Which of these statements are true about the incenter of a triangle? Select all that apply.







The incenter is the point of concurrency of the medians of the triangle.
The incenter is equidistant from the sides of the triangle.
The incenter is equidistant from the vertices of the triangle.
The incenter is the point of concurrency of the angle bisectors of the triangle.
The incenter is the center of a circle inscribed in a triangle.
The incenter is the center of a circle that includes the three vertices of the triangle.
The incenter is the center of gravity of the triangle.
#19
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19. Answer
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#20
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20. Answer
80
#21
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21. Answer
-4
24
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#22
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22. Answer
𝝅
𝟔𝟎
𝝅
𝟒𝟎
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#23
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23. Answer
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#24
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24. Answer
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#25
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25. Answer
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