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?