6.4 Investigation 4: Inscribed Quadrilaterals and Angles
6.4 Investigation 4: Inscribed Quadrilaterals and Angles
Investigation 2
Step 1: Select four points on the circle and construct the four segments between them. You should have an inscribed quadrilateral in the circle below. Label the quadrilateral .
Step 2: Measure each of the four inscribed angles. Record your results in the table on your sheet.
It is unlikely that any of the angles are congruent (unless you constructed a rectangle) but there is a relationship between some pairs of angles. Compare and discuss with your neighbor to come up with a relationship.
Inscribed Quadrilaterals and Angles Conjecture
The ___________________ angles of a quadrilateral inscribed in a circle are ____________________.