Lesson 8 Notes

Table of Contents

Lines

Examples

In class examples

Transformations

Transformations can be noted with the following notation:

Equations of Circles

Circles have the equation (x - a)2 + (y - b)2 = r2

Examples

Inscribed & Central Angles in Circles

Inscribed Angle - an angle made from points sitting on the circle's circumference.

Central Angle - an angle where the vertex of the angle is at the center of the circle and the arms extend to the circumference of a circle.

Circle Theoremes

Cyclic Quadrilateral

A Cyclic Quadrilateral has every vertex on the circle's circumference.

A Cyclic Quadrilateral's opposite angles add to 180° (see in class notes).

Tangent Angle

A tangent line touches the circle at just one point. The angle formed by the tangent line and the circle's radius is always 90°