Circles Model - Angles in same segment of a circle Circles Model - Angles in same segment of a...
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Transcript of Circles Model - Angles in same segment of a circle Circles Model - Angles in same segment of a...
Circles
Model -Angles in same
segment of a circle
JUHI MATHUR -2011JUHI MATHUR -2011
Concept-In any Circle ,angles in the same or equal segments are equal .
Step -1Draw a circle
Step-2Draw another circle with same radius. Mark chord AB on the circle and measure it.Make any angle AEB subtended by chord AB in the major segment.
Step-3Draw another circle with same radius. Mark chord AB (same measure) on the circle and measure it.Make any angle ADB subtended by chord AB in the major segment.
Step-4Draw another circle of same radius.Mark chord AB (same measure) on the circle and measure it.Make any angle ACB subtended by chord AB in the major segment.
Step-5Cut out Triangles ACB, ADB and AEB
A
B
D
A
B
C
A
B
E
Step-6Place the three Triangles ACB, ADB and AEB cut out previously on the circle drawn in Step-1
What do you observe when you place Angle ACB, ADB and AEB one over other with vertices A and B coinciding respectively for all angles?