[Math] Similarity conditions of two right trapezoid with similar angles

geometry

We have $2$ right trapezoid for example two trapezoid with angles $90^{\circ},90^{\circ},80^{\circ},100^{\circ}$.
do we need to all the sides proportionality or less is enough ?

Best Answer

The trapeziums are not drawn with angles you mentioned.. so as to bring it into more contrast. As seen in the diagram the trapeziums $ABCD, ABEF $ are not similar.

Trapezium Similarity

Two trapezoids with the same angles are similar only if the ratio of corresponding sides in those similar triangles is the same after these corresponding sides are parallelly placed to appear to radiate from a single center point of similitude $O$.