inner angle: If alpha is 90 degree, ABCD is trapezoid, AB=CD. What poly do I get?

[shahar]

If alpha will be 90 degree and:
ABCD is a trapezoid and AB=CD.
What polygon I can get?!

 

[topsquark]

If alpha will be 90 degree and:
ABCD is a trapezoid and AB=CD.
What polygon I can get?!

Is this all the information you are given? And I really don't understand what you are asking for. 6 triangles, a trapezoid, what kind of polygons are you looking for?

-Dan

 

[shahar]

Is this all the information you are given? And I really don't understand what you are asking for. 6 triangles, a trapezoid, what kind of polygons are you looking for?

-Dan

If I change angle alpha to 90, what figure can I get?

 

[shahar]

Trapezoid to Kite

If the angle of alpha change to 90 degree.
I think I will get a "Kite".
Am I Right?

 

[Dr.Peterson]

If the angle of alpha change to 90 degree.
I think I will get a "Kite".
Am I Right?

No, it will just be a trapezoid with perpendicular diagonals. I don't think there is a special name for this, in general.

Not all quadrilaterals with perpendicular diagonals are kites. If the result were a kite, it would in fact be a rhombus.

EDIT:
But you also said that AB = CD, without calling that a change! (I had assumed you really meant parallel, since that is what the picture shows.) That alone makes it a parallelogram; perpendicular diagonals make that a rhombus.

 

[shahar]

No, ...rhombus.

Thanks.