By Blake, David, Farah, Mark and Taylor
Do Now: List three ways to prove a
similar triangle.
AA –
SSS-
Angle Angle
When three pairs of
corresponding sides are in the same
ratio
SAS- Two sides and the included
angle of one triangle are in the
same ratio as the corresponding two
 Giovanni
Ceva (1648-1734) was a Italian
mathematician who studied geometry
 Ceva rediscovered and republished
Menelaus’s Theorem
 Ceva wrote De Re Nummeraria, which was
one of the first books of its kind in
mathematical economics
 He published a theorem on synthetic
geometry in a triangle, Ceva’s theorem, in
De lineis rectis.
 Ceva’s theorem states…
If three line segments are drawn from the
vertices of a triangle to their opposite
sides, then the three line segments are
concurrent if, and only if, the product of
the ratios of the newly created line
segments on each side of the triangle is
equal to one.