Circles Model - Angles in same segment of a circle

Circles Model - Angles in same segment of a circle JUHI MATHUR -2011

Concept- In any Circle , angles in the same or equal segments are equal .

Step -1 Draw a circle

Step-2 Draw 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-3 Draw 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-4 Draw 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-5 Cut out Triangles ACB, ADB and AEB C B D A B E A B A

Step-6 Place 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?

Result In any Circle , angles in the same or equal segments are equal

THANK YOU

Circles Model - Angles in same segment of a circle