Cyclic Quadrilaterals and Angles

This video tutorial covers unit 7 lesson 4, focusing on quadrilaterals in circles. It explains how to determine missing angles in cyclic quadrilaterals and the concept of circumscribed and inscribed figures. The lesson includes activities to draw circles around quadrilaterals and explores properties of cyclic quadrilaterals, including supplementary angles. The video also provides instructions on constructing cyclic quadrilaterals and concludes with a lesson summary and cooldown activity.

What is the main focus of Unit 7 Lesson 4?

• Pentagons in circles

• Quadrilaterals in circles

• Hexagons in circles

• Triangles in circles

What is the term for a circle drawn around a shape touching all vertices?

• Circumscribed

• Encircled

• Inscribed

• Enclosed

What is a cyclic quadrilateral?

• A quadrilateral with equal sides

• A quadrilateral that can have a circle circumscribed around it

• A quadrilateral with a circle inside

• A quadrilateral with all right angles

What is the sum of opposite angles in a cyclic quadrilateral?

• 180 degrees

• 360 degrees

• 270 degrees

• 90 degrees

Why is the diameter important when constructing a circle around a cyclic quadrilateral?

• It determines the color of the circle

• It helps find the center of the circle

• It is the longest side of the quadrilateral

• It is not important

What must be true for a quadrilateral to be cyclic?

• All angles must be right angles

• Opposite angles must sum to 180 degrees

• It must be a rectangle

• All sides must be equal

What is the term for angles that add up to 180 degrees?

• Supplementary

• Vertical

• Complementary

• Adjacent