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A circle passes through (0, 0), (10, 0) and (0, 24)… | StemPy Lab
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A circle passes through (0, 0), (10, 0) and (0, 24). Which of these points is also on the circle?
Mathematics
Hard
High School (9–10)
General
Geometry › Circles
Olympiad
SAT
Created by
StemPy Lab
A circle passes through
(
0
,
0
)
(0, 0)
(
0
,
0
)
,
(
10
,
0
)
(10, 0)
(
10
,
0
)
and
(
0
,
24
)
(0, 24)
(
0
,
24
)
. Which of these points is also on the circle?
(
12
,
24
)
(12, 24)
(
12
,
24
)
(
10
,
24
)
(10, 24)
(
10
,
24
)
(
24
,
10
)
(24, 10)
(
24
,
10
)
(
5
,
0
)
(5, 0)
(
5
,
0
)
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← In the proof that a quadrilateral with ∠ B + ∠ D = 180° is cyclic, D is supposed to lie inside the circle through A, B, C. AD is extended to meet the circle at D'. Which fact leads to the contradiction?
A quadrilateral has ∠ A = ∠ C. When is it cyclic? →
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Geometry › Circles
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