Circle theorems Flashcards
1
Q
The angle that lies
between a tangent
and a chord is equal
to the angle
…
A
subtended by the same chord in the alternate segment. (the alternate segment theorum)
2
Q
The angle at the
centre is ——— the
angle at the
circumference.
A
twice
3
Q
Angles in the same
segment are …
A
equal
4
Q
The angle in a
semicircle is ——
degrees.
A
90
5
Q
The perpendicular
from the centre of a
circle to a chord
…
A
bisects the chord
(splits the chord into
two equal parts).
6
Q
The opposite
angles in a cyclic
quadrilateral total
—— degrees.
A
180
7
Q
The angle between a tangent and radius is —- degrees.
A
90
8
Q
Tangents which meet at the same point are ——— in length.
A
equal
9
Q
c=
A
√ (a2+b2﹣2abcosA)
10
Q
SinA/a =
A
sinB/b
11
Q
X =
A
(-b±√(b²-4ac))/(2a)
12
Q
area of a trinagle =
A
1/2 ab Sin(C)
13
Q
a2 =
A
b2 + c2 - 2bc cos A
