Download Circle Geometry and Theorems Aislinn Jonathan

CIRCLE GEOMETRY AND THEOREMS
By Jonathan and Aislinn
TASK A - DIAMETER

Circle diameter.
TASK A - CHORD
Circle chord.
TASK A - TANGENT
Circle
tangent
TASK A

This is an isosceles triangle. Because two of
the sides are the same and the third one is
not.
TASK B – ANGLES SUBTENDED FROM THE
DIAMETER
We noticed that
angle D is 90
degrees.
TASK B – ANGLES IN THE SAME SEGMENT
Circle theorem
of chords
Angles subtended
from the same
segment of a chord
are always the same.
“ Given a chord all
angles from that
chord are equal”
TASK B – ANGLES SUBTENDED AT THE CENTRE

“For any chord
the angle
subtended at the
centre is twice
that subtended
at the perimeter.”
TASK B – ANGLES IN A CYCLIC QUADRILATERAL
“Opposite
angles of a
cyclic
quadrilateral
add up to 180
degrees”
TASK B – ANGLES BETWEEN TANGENT AND
RADIUS

The angle is 90
degrees when the
line touches the
circle at certain
point.