keronvr.blogg.se - Dfind lengths of circumscribed quadrilateral

If possible, record the relevant reasoning on or near the images. Record and display their responses for all to see.

Do other shapes have circumscribed circles?Īsk students to share the things they noticed and wondered.Is the converse true? That is, if a quadrilateral has supplementary pairs of opposite angles, do we know for sure that it has a circumscribed circle? We showed that cyclic quadrilaterals have supplementary pairs of opposite angles.What are the angle measures in the second quadrilateral?.This is why we couldn’t draw its circumscribed circle. One pair of opposite angles are both obtuse and the other pair are acute. The third quadrilateral does not have supplementary pairs of opposite angles.It fits the idea that cyclic quadrilaterals have supplementary pairs of opposite angles.

The first quadrilateral has 4 90 degree angles.

Give students 1 minute of quiet think time, and then 1 minute to discuss the things they notice and wonder with their partner, followed by a whole-class discussion. Ask students to think of at least one thing they notice and at least one thing they wonder.