Respuesta :

Intriguing456

Answer:

A

Step-by-step explanation:

The inscribed quadrilateral theorem tell us that opposite angles of an inscribed quadrilateral (one that has been circumscribed) must be supplementary. That is, they must add to 180°.

We can see that Polygon A's opposite angles do NOT add to 180°. Therefore, it cannot be circumscribed.

On the contrary, Polygon B's opposite angles DO add to 180°. Therefore, it CAN be circumscribed.

Ver imagen Intriguing456
rvkacademic

Answer:

A    Polygon B because its opposite angles are supplementary

Step-by-step explanation:

What types of quadrilaterals can be circumscribed by a circle?

Any quadrilateral that can be circumscribed in a circle must have its opposite angles supplementary.

Such a quadrilateral is known as a cyclic quadrilateral

A parallelogram has its opposite angles equal. For it to be inscribed in a circle, it must have the property of cyclic quadrilaterals that opposite angles are supplementary. This is only possible if these angles are both equal to 90°

Since the parallelogram will thus have four right angles, it must necessarily be a rectangle.

So only a rectangle can be circumscribed by a circle

Answer: A

Otras preguntas